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Finding the Fourth Proportional to 8,129.90, 11,218.68 and 4,772.86

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Solution

The fourth proportional to 8,129.90, 11,218.68 and 4,772.86 is: 6,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.90 : 11,218.68 = 4,772.86 : x
  2. Step 2: Convert to fraction form
    8,129.90/11,218.68 = 4,772.86/x
  3. Step 3: Cross multiply
    8,129.90x = 11,218.68 × 4,772.86
  4. Step 4: Simplify right side
    8,129.90x = 53,545,189.02
  5. Step 5: Solve for x
    x = 53,545,189.02/8,129.90
  6. Step 6: Final answer
    x = 6,586.21

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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.