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Finding the Fourth Proportional to 8,281.60, 12,414.30 and 4,118.20

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Solution

The fourth proportional to 8,281.60, 12,414.30 and 4,118.20 is: 6,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.60 : 12,414.30 = 4,118.20 : x
  2. Step 2: Convert to fraction form
    8,281.60/12,414.30 = 4,118.20/x
  3. Step 3: Cross multiply
    8,281.60x = 12,414.30 × 4,118.20
  4. Step 4: Simplify right side
    8,281.60x = 51,124,570.26
  5. Step 5: Solve for x
    x = 51,124,570.26/8,281.60
  6. Step 6: Final answer
    x = 6,173.27

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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.