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Finding the Fourth Proportional to 8,380.02, 11,565.92 and 6,266.16

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Solution

The fourth proportional to 8,380.02, 11,565.92 and 6,266.16 is: 8,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.02 : 11,565.92 = 6,266.16 : x
  2. Step 2: Convert to fraction form
    8,380.02/11,565.92 = 6,266.16/x
  3. Step 3: Cross multiply
    8,380.02x = 11,565.92 × 6,266.16
  4. Step 4: Simplify right side
    8,380.02x = 72,473,905.27
  5. Step 5: Solve for x
    x = 72,473,905.27/8,380.02
  6. Step 6: Final answer
    x = 8,648.42

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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.