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Finding the Fourth Proportional to 11,871.25, 16,382.18 and 6,565.95

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Solution

The fourth proportional to 11,871.25, 16,382.18 and 6,565.95 is: 9,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.25 : 16,382.18 = 6,565.95 : x
  2. Step 2: Convert to fraction form
    11,871.25/16,382.18 = 6,565.95/x
  3. Step 3: Cross multiply
    11,871.25x = 16,382.18 × 6,565.95
  4. Step 4: Simplify right side
    11,871.25x = 107,564,591.19
  5. Step 5: Solve for x
    x = 107,564,591.19/11,871.25
  6. Step 6: Final answer
    x = 9,060.93

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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.