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Finding the Fourth Proportional to 10,103.38, 15,162.96 and 7,005.20

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Solution

The fourth proportional to 10,103.38, 15,162.96 and 7,005.20 is: 10,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.38 : 15,162.96 = 7,005.20 : x
  2. Step 2: Convert to fraction form
    10,103.38/15,162.96 = 7,005.20/x
  3. Step 3: Cross multiply
    10,103.38x = 15,162.96 × 7,005.20
  4. Step 4: Simplify right side
    10,103.38x = 106,219,645.78
  5. Step 5: Solve for x
    x = 106,219,645.78/10,103.38
  6. Step 6: Final answer
    x = 10,513.28

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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.