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Finding the Fourth Proportional to 10,638.35, 15,952.90 and 3,616.48

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Solution

The fourth proportional to 10,638.35, 15,952.90 and 3,616.48 is: 5,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.35 : 15,952.90 = 3,616.48 : x
  2. Step 2: Convert to fraction form
    10,638.35/15,952.90 = 3,616.48/x
  3. Step 3: Cross multiply
    10,638.35x = 15,952.90 × 3,616.48
  4. Step 4: Simplify right side
    10,638.35x = 57,693,264.03
  5. Step 5: Solve for x
    x = 57,693,264.03/10,638.35
  6. Step 6: Final answer
    x = 5,423.14

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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.