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Finding the Fourth Proportional to 8,665.72, 13,002.18 and 4,769.80

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Solution

The fourth proportional to 8,665.72, 13,002.18 and 4,769.80 is: 7,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.72 : 13,002.18 = 4,769.80 : x
  2. Step 2: Convert to fraction form
    8,665.72/13,002.18 = 4,769.80/x
  3. Step 3: Cross multiply
    8,665.72x = 13,002.18 × 4,769.80
  4. Step 4: Simplify right side
    8,665.72x = 62,017,798.16
  5. Step 5: Solve for x
    x = 62,017,798.16/8,665.72
  6. Step 6: Final answer
    x = 7,156.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.