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Finding the Fourth Proportional to 11,957.81, 16,502.18 and 6,580.44

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Solution

The fourth proportional to 11,957.81, 16,502.18 and 6,580.44 is: 9,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.81 : 16,502.18 = 6,580.44 : x
  2. Step 2: Convert to fraction form
    11,957.81/16,502.18 = 6,580.44/x
  3. Step 3: Cross multiply
    11,957.81x = 16,502.18 × 6,580.44
  4. Step 4: Simplify right side
    11,957.81x = 108,591,572.46
  5. Step 5: Solve for x
    x = 108,591,572.46/11,957.81
  6. Step 6: Final answer
    x = 9,081.23

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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.