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Finding the Fourth Proportional to 11,800.20, 16,283.79 and 7,545.27

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Solution

The fourth proportional to 11,800.20, 16,283.79 and 7,545.27 is: 10,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.20 : 16,283.79 = 7,545.27 : x
  2. Step 2: Convert to fraction form
    11,800.20/16,283.79 = 7,545.27/x
  3. Step 3: Cross multiply
    11,800.20x = 16,283.79 × 7,545.27
  4. Step 4: Simplify right side
    11,800.20x = 122,865,592.17
  5. Step 5: Solve for x
    x = 122,865,592.17/11,800.20
  6. Step 6: Final answer
    x = 10,412.16

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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.