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Finding the Fourth Proportional to 10,354.41, 15,501.65 and 9,286.02

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Solution

The fourth proportional to 10,354.41, 15,501.65 and 9,286.02 is: 13,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.41 : 15,501.65 = 9,286.02 : x
  2. Step 2: Convert to fraction form
    10,354.41/15,501.65 = 9,286.02/x
  3. Step 3: Cross multiply
    10,354.41x = 15,501.65 × 9,286.02
  4. Step 4: Simplify right side
    10,354.41x = 143,948,585.50
  5. Step 5: Solve for x
    x = 143,948,585.50/10,354.41
  6. Step 6: Final answer
    x = 13,902.15

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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.