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Finding the Fourth Proportional to 8,399.60, 12,574.56 and 5,102.72

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Solution

The fourth proportional to 8,399.60, 12,574.56 and 5,102.72 is: 7,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.60 : 12,574.56 = 5,102.72 : x
  2. Step 2: Convert to fraction form
    8,399.60/12,574.56 = 5,102.72/x
  3. Step 3: Cross multiply
    8,399.60x = 12,574.56 × 5,102.72
  4. Step 4: Simplify right side
    8,399.60x = 64,164,458.80
  5. Step 5: Solve for x
    x = 64,164,458.80/8,399.60
  6. Step 6: Final answer
    x = 7,638.99

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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.