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Finding the Fourth Proportional to 11,545.62, 15,932.95 and 6,511.07

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Solution

The fourth proportional to 11,545.62, 15,932.95 and 6,511.07 is: 8,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.62 : 15,932.95 = 6,511.07 : x
  2. Step 2: Convert to fraction form
    11,545.62/15,932.95 = 6,511.07/x
  3. Step 3: Cross multiply
    11,545.62x = 15,932.95 × 6,511.07
  4. Step 4: Simplify right side
    11,545.62x = 103,740,456.81
  5. Step 5: Solve for x
    x = 103,740,456.81/11,545.62
  6. Step 6: Final answer
    x = 8,985.27

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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.