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Finding the Fourth Proportional to 11,870.33, 16,380.96 and 6,565.01

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Solution

The fourth proportional to 11,870.33, 16,380.96 and 6,565.01 is: 9,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.33 : 16,380.96 = 6,565.01 : x
  2. Step 2: Convert to fraction form
    11,870.33/16,380.96 = 6,565.01/x
  3. Step 3: Cross multiply
    11,870.33x = 16,380.96 × 6,565.01
  4. Step 4: Simplify right side
    11,870.33x = 107,541,166.21
  5. Step 5: Solve for x
    x = 107,541,166.21/11,870.33
  6. Step 6: Final answer
    x = 9,059.66

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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.