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Finding the Fourth Proportional to 7,731,358.40, 11,597,037.60 and 4,857,348.80

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Solution

The fourth proportional to 7,731,358.40, 11,597,037.60 and 4,857,348.80 is: 7,286,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731,358.40 : 11,597,037.60 = 4,857,348.80 : x
  2. Step 2: Convert to fraction form
    7,731,358.40/11,597,037.60 = 4,857,348.80/x
  3. Step 3: Cross multiply
    7,731,358.40x = 11,597,037.60 × 4,857,348.80
  4. Step 4: Simplify right side
    7,731,358.40x = 56,330,856,669,914.88
  5. Step 5: Solve for x
    x = 56,330,856,669,914.88/7,731,358.40
  6. Step 6: Final answer
    x = 7,286,023.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.