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Finding the Fourth Proportional to 11,545.57, 15,932.78 and 6,441.13

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Solution

The fourth proportional to 11,545.57, 15,932.78 and 6,441.13 is: 8,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.57 : 15,932.78 = 6,441.13 : x
  2. Step 2: Convert to fraction form
    11,545.57/15,932.78 = 6,441.13/x
  3. Step 3: Cross multiply
    11,545.57x = 15,932.78 × 6,441.13
  4. Step 4: Simplify right side
    11,545.57x = 102,625,075.04
  5. Step 5: Solve for x
    x = 102,625,075.04/11,545.57
  6. Step 6: Final answer
    x = 8,888.70

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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.