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Finding the Fourth Proportional to 7,835.66, 11,750.02 and 3,672.30

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Solution

The fourth proportional to 7,835.66, 11,750.02 and 3,672.30 is: 5,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.66 : 11,750.02 = 3,672.30 : x
  2. Step 2: Convert to fraction form
    7,835.66/11,750.02 = 3,672.30/x
  3. Step 3: Cross multiply
    7,835.66x = 11,750.02 × 3,672.30
  4. Step 4: Simplify right side
    7,835.66x = 43,149,598.45
  5. Step 5: Solve for x
    x = 43,149,598.45/7,835.66
  6. Step 6: Final answer
    x = 5,506.82

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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.