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Finding the Fourth Proportional to 8,917.60, 13,350.80 and 5,461.60

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Solution

The fourth proportional to 8,917.60, 13,350.80 and 5,461.60 is: 8,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.60 : 13,350.80 = 5,461.60 : x
  2. Step 2: Convert to fraction form
    8,917.60/13,350.80 = 5,461.60/x
  3. Step 3: Cross multiply
    8,917.60x = 13,350.80 × 5,461.60
  4. Step 4: Simplify right side
    8,917.60x = 72,916,729.28
  5. Step 5: Solve for x
    x = 72,916,729.28/8,917.60
  6. Step 6: Final answer
    x = 8,176.72

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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.