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Finding the Fourth Proportional to 11,870.91, 16,380.75 and 6,565.61

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Solution

The fourth proportional to 11,870.91, 16,380.75 and 6,565.61 is: 9,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.91 : 16,380.75 = 6,565.61 : x
  2. Step 2: Convert to fraction form
    11,870.91/16,380.75 = 6,565.61/x
  3. Step 3: Cross multiply
    11,870.91x = 16,380.75 × 6,565.61
  4. Step 4: Simplify right side
    11,870.91x = 107,549,617.04
  5. Step 5: Solve for x
    x = 107,549,617.04/11,870.91
  6. Step 6: Final answer
    x = 9,059.93

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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.