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Finding the Fourth Proportional to 11,001.92, 15,178.64 and 7,024.82

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Solution

The fourth proportional to 11,001.92, 15,178.64 and 7,024.82 is: 9,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001.92 : 15,178.64 = 7,024.82 : x
  2. Step 2: Convert to fraction form
    11,001.92/15,178.64 = 7,024.82/x
  3. Step 3: Cross multiply
    11,001.92x = 15,178.64 × 7,024.82
  4. Step 4: Simplify right side
    11,001.92x = 106,627,102.83
  5. Step 5: Solve for x
    x = 106,627,102.83/11,001.92
  6. Step 6: Final answer
    x = 9,691.69

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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.