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Finding the Fourth Proportional to 11,545.06, 15,891.51 and 8,353.18

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Solution

The fourth proportional to 11,545.06, 15,891.51 and 8,353.18 is: 11,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.06 : 15,891.51 = 8,353.18 : x
  2. Step 2: Convert to fraction form
    11,545.06/15,891.51 = 8,353.18/x
  3. Step 3: Cross multiply
    11,545.06x = 15,891.51 × 8,353.18
  4. Step 4: Simplify right side
    11,545.06x = 132,744,643.50
  5. Step 5: Solve for x
    x = 132,744,643.50/11,545.06
  6. Step 6: Final answer
    x = 11,497.96

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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.