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Finding the Fourth Proportional to 10,656.52, 15,984.99 and 3,638.14

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Solution

The fourth proportional to 10,656.52, 15,984.99 and 3,638.14 is: 5,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.52 : 15,984.99 = 3,638.14 : x
  2. Step 2: Convert to fraction form
    10,656.52/15,984.99 = 3,638.14/x
  3. Step 3: Cross multiply
    10,656.52x = 15,984.99 × 3,638.14
  4. Step 4: Simplify right side
    10,656.52x = 58,155,631.52
  5. Step 5: Solve for x
    x = 58,155,631.52/10,656.52
  6. Step 6: Final answer
    x = 5,457.28

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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.