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Finding the Fourth Proportional to 8,521.80, 12,780.36 and 5,397.12

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Solution

The fourth proportional to 8,521.80, 12,780.36 and 5,397.12 is: 8,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.80 : 12,780.36 = 5,397.12 : x
  2. Step 2: Convert to fraction form
    8,521.80/12,780.36 = 5,397.12/x
  3. Step 3: Cross multiply
    8,521.80x = 12,780.36 × 5,397.12
  4. Step 4: Simplify right side
    8,521.80x = 68,977,136.56
  5. Step 5: Solve for x
    x = 68,977,136.56/8,521.80
  6. Step 6: Final answer
    x = 8,094.20

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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.