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Finding the Fourth Proportional to 11,871.51, 16,380.75 and 6,565.30

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Solution

The fourth proportional to 11,871.51, 16,380.75 and 6,565.30 is: 9,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.51 : 16,380.75 = 6,565.30 : x
  2. Step 2: Convert to fraction form
    11,871.51/16,380.75 = 6,565.30/x
  3. Step 3: Cross multiply
    11,871.51x = 16,380.75 × 6,565.30
  4. Step 4: Simplify right side
    11,871.51x = 107,544,456.07
  5. Step 5: Solve for x
    x = 107,544,456.07/11,871.51
  6. Step 6: Final answer
    x = 9,059.04

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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.