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Finding the Fourth Proportional to 8,981.16, 12,384 and 7,720.80

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Solution

The fourth proportional to 8,981.16, 12,384 and 7,720.80 is: 10,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.16 : 12,384 = 7,720.80 : x
  2. Step 2: Convert to fraction form
    8,981.16/12,384 = 7,720.80/x
  3. Step 3: Cross multiply
    8,981.16x = 12,384 × 7,720.80
  4. Step 4: Simplify right side
    8,981.16x = 95,614,387.20
  5. Step 5: Solve for x
    x = 95,614,387.20/8,981.16
  6. Step 6: Final answer
    x = 10,646.11

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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.