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Finding the Fourth Proportional to 11,870.29, 16,380.87 and 6,565.06

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Solution

The fourth proportional to 11,870.29, 16,380.87 and 6,565.06 is: 9,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.29 : 16,380.87 = 6,565.06 : x
  2. Step 2: Convert to fraction form
    11,870.29/16,380.87 = 6,565.06/x
  3. Step 3: Cross multiply
    11,870.29x = 16,380.87 × 6,565.06
  4. Step 4: Simplify right side
    11,870.29x = 107,541,394.40
  5. Step 5: Solve for x
    x = 107,541,394.40/11,870.29
  6. Step 6: Final answer
    x = 9,059.71

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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.