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Finding the Fourth Proportional to 11,139.72, 15,372 and 6,103.14

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Solution

The fourth proportional to 11,139.72, 15,372 and 6,103.14 is: 8,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.72 : 15,372 = 6,103.14 : x
  2. Step 2: Convert to fraction form
    11,139.72/15,372 = 6,103.14/x
  3. Step 3: Cross multiply
    11,139.72x = 15,372 × 6,103.14
  4. Step 4: Simplify right side
    11,139.72x = 93,817,468.08
  5. Step 5: Solve for x
    x = 93,817,468.08/11,139.72
  6. Step 6: Final answer
    x = 8,421.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.