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Finding the Fourth Proportional to 8,288.64, 12,434.40 and 2,445.60

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Solution

The fourth proportional to 8,288.64, 12,434.40 and 2,445.60 is: 3,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.64 : 12,434.40 = 2,445.60 : x
  2. Step 2: Convert to fraction form
    8,288.64/12,434.40 = 2,445.60/x
  3. Step 3: Cross multiply
    8,288.64x = 12,434.40 × 2,445.60
  4. Step 4: Simplify right side
    8,288.64x = 30,409,568.64
  5. Step 5: Solve for x
    x = 30,409,568.64/8,288.64
  6. Step 6: Final answer
    x = 3,668.82

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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.