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Finding the Fourth Proportional to 8,298.57, 12,419.21 and 5,134.71

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Solution

The fourth proportional to 8,298.57, 12,419.21 and 5,134.71 is: 7,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.57 : 12,419.21 = 5,134.71 : x
  2. Step 2: Convert to fraction form
    8,298.57/12,419.21 = 5,134.71/x
  3. Step 3: Cross multiply
    8,298.57x = 12,419.21 × 5,134.71
  4. Step 4: Simplify right side
    8,298.57x = 63,769,041.78
  5. Step 5: Solve for x
    x = 63,769,041.78/8,298.57
  6. Step 6: Final answer
    x = 7,684.34

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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.