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Finding the Fourth Proportional to 11,870.32, 16,380.86 and 6,565.22

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Solution

The fourth proportional to 11,870.32, 16,380.86 and 6,565.22 is: 9,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.32 : 16,380.86 = 6,565.22 : x
  2. Step 2: Convert to fraction form
    11,870.32/16,380.86 = 6,565.22/x
  3. Step 3: Cross multiply
    11,870.32x = 16,380.86 × 6,565.22
  4. Step 4: Simplify right side
    11,870.32x = 107,543,949.69
  5. Step 5: Solve for x
    x = 107,543,949.69/11,870.32
  6. Step 6: Final answer
    x = 9,059.90

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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.