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Finding the Fourth Proportional to 8,328.64, 12,496.42 and 3,646.24

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Solution

The fourth proportional to 8,328.64, 12,496.42 and 3,646.24 is: 5,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.64 : 12,496.42 = 3,646.24 : x
  2. Step 2: Convert to fraction form
    8,328.64/12,496.42 = 3,646.24/x
  3. Step 3: Cross multiply
    8,328.64x = 12,496.42 × 3,646.24
  4. Step 4: Simplify right side
    8,328.64x = 45,564,919.78
  5. Step 5: Solve for x
    x = 45,564,919.78/8,328.64
  6. Step 6: Final answer
    x = 5,470.87

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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.