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Finding the Fourth Proportional to 10,527.92, 14,545.98 and 8,306.70

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Solution

The fourth proportional to 10,527.92, 14,545.98 and 8,306.70 is: 11,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.92 : 14,545.98 = 8,306.70 : x
  2. Step 2: Convert to fraction form
    10,527.92/14,545.98 = 8,306.70/x
  3. Step 3: Cross multiply
    10,527.92x = 14,545.98 × 8,306.70
  4. Step 4: Simplify right side
    10,527.92x = 120,829,092.07
  5. Step 5: Solve for x
    x = 120,829,092.07/10,527.92
  6. Step 6: Final answer
    x = 11,477.01

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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.