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Finding the Fourth Proportional to 8,694.40, 13,041.60 and 5,405.80

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Solution

The fourth proportional to 8,694.40, 13,041.60 and 5,405.80 is: 8,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.40 : 13,041.60 = 5,405.80 : x
  2. Step 2: Convert to fraction form
    8,694.40/13,041.60 = 5,405.80/x
  3. Step 3: Cross multiply
    8,694.40x = 13,041.60 × 5,405.80
  4. Step 4: Simplify right side
    8,694.40x = 70,500,281.28
  5. Step 5: Solve for x
    x = 70,500,281.28/8,694.40
  6. Step 6: Final answer
    x = 8,108.70

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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.