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Finding the Fourth Proportional to 8,452.12, 12,678.14 and 4,706.20

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Solution

The fourth proportional to 8,452.12, 12,678.14 and 4,706.20 is: 7,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.12 : 12,678.14 = 4,706.20 : x
  2. Step 2: Convert to fraction form
    8,452.12/12,678.14 = 4,706.20/x
  3. Step 3: Cross multiply
    8,452.12x = 12,678.14 × 4,706.20
  4. Step 4: Simplify right side
    8,452.12x = 59,665,862.47
  5. Step 5: Solve for x
    x = 59,665,862.47/8,452.12
  6. Step 6: Final answer
    x = 7,059.28

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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.