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Finding the Fourth Proportional to 11,234.52, 16,838.12 and 7,948.56

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Solution

The fourth proportional to 11,234.52, 16,838.12 and 7,948.56 is: 11,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.52 : 16,838.12 = 7,948.56 : x
  2. Step 2: Convert to fraction form
    11,234.52/16,838.12 = 7,948.56/x
  3. Step 3: Cross multiply
    11,234.52x = 16,838.12 × 7,948.56
  4. Step 4: Simplify right side
    11,234.52x = 133,838,767.36
  5. Step 5: Solve for x
    x = 133,838,767.36/11,234.52
  6. Step 6: Final answer
    x = 11,913.17

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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.