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Finding the Fourth Proportional to 8,411.60, 12,617.40 and 5,301.20

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Solution

The fourth proportional to 8,411.60, 12,617.40 and 5,301.20 is: 7,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.60 : 12,617.40 = 5,301.20 : x
  2. Step 2: Convert to fraction form
    8,411.60/12,617.40 = 5,301.20/x
  3. Step 3: Cross multiply
    8,411.60x = 12,617.40 × 5,301.20
  4. Step 4: Simplify right side
    8,411.60x = 66,887,360.88
  5. Step 5: Solve for x
    x = 66,887,360.88/8,411.60
  6. Step 6: Final answer
    x = 7,951.80

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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.