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Finding the Fourth Proportional to 11,562.13, 15,957.50 and 8,389.83

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Solution

The fourth proportional to 11,562.13, 15,957.50 and 8,389.83 is: 11,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.13 : 15,957.50 = 8,389.83 : x
  2. Step 2: Convert to fraction form
    11,562.13/15,957.50 = 8,389.83/x
  3. Step 3: Cross multiply
    11,562.13x = 15,957.50 × 8,389.83
  4. Step 4: Simplify right side
    11,562.13x = 133,880,740.92
  5. Step 5: Solve for x
    x = 133,880,740.92/11,562.13
  6. Step 6: Final answer
    x = 11,579.25

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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.