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Finding the Fourth Proportional to 12,557.48, 17,329.46 and 6,892.61

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Solution

The fourth proportional to 12,557.48, 17,329.46 and 6,892.61 is: 9,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.48 : 17,329.46 = 6,892.61 : x
  2. Step 2: Convert to fraction form
    12,557.48/17,329.46 = 6,892.61/x
  3. Step 3: Cross multiply
    12,557.48x = 17,329.46 × 6,892.61
  4. Step 4: Simplify right side
    12,557.48x = 119,445,088.18
  5. Step 5: Solve for x
    x = 119,445,088.18/12,557.48
  6. Step 6: Final answer
    x = 9,511.87

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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.