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Finding the Fourth Proportional to 10,419.64, 15,630.90 and 3,496.12

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Solution

The fourth proportional to 10,419.64, 15,630.90 and 3,496.12 is: 5,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.64 : 15,630.90 = 3,496.12 : x
  2. Step 2: Convert to fraction form
    10,419.64/15,630.90 = 3,496.12/x
  3. Step 3: Cross multiply
    10,419.64x = 15,630.90 × 3,496.12
  4. Step 4: Simplify right side
    10,419.64x = 54,647,502.11
  5. Step 5: Solve for x
    x = 54,647,502.11/10,419.64
  6. Step 6: Final answer
    x = 5,244.66

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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.