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Finding the Fourth Proportional to 8,566.40, 12,854.40 and 3,635.20

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Solution

The fourth proportional to 8,566.40, 12,854.40 and 3,635.20 is: 5,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.40 : 12,854.40 = 3,635.20 : x
  2. Step 2: Convert to fraction form
    8,566.40/12,854.40 = 3,635.20/x
  3. Step 3: Cross multiply
    8,566.40x = 12,854.40 × 3,635.20
  4. Step 4: Simplify right side
    8,566.40x = 46,728,314.88
  5. Step 5: Solve for x
    x = 46,728,314.88/8,566.40
  6. Step 6: Final answer
    x = 5,454.84

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Why These Related Problems?

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