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Finding the Fourth Proportional to 10,291.38, 15,437 and 2,500.26

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Solution

The fourth proportional to 10,291.38, 15,437 and 2,500.26 is: 3,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.38 : 15,437 = 2,500.26 : x
  2. Step 2: Convert to fraction form
    10,291.38/15,437 = 2,500.26/x
  3. Step 3: Cross multiply
    10,291.38x = 15,437 × 2,500.26
  4. Step 4: Simplify right side
    10,291.38x = 38,596,513.62
  5. Step 5: Solve for x
    x = 38,596,513.62/10,291.38
  6. Step 6: Final answer
    x = 3,750.37

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