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Finding the Fourth Proportional to 10,655.96, 15,984.09 and 4,082.48

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Solution

The fourth proportional to 10,655.96, 15,984.09 and 4,082.48 is: 6,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.96 : 15,984.09 = 4,082.48 : x
  2. Step 2: Convert to fraction form
    10,655.96/15,984.09 = 4,082.48/x
  3. Step 3: Cross multiply
    10,655.96x = 15,984.09 × 4,082.48
  4. Step 4: Simplify right side
    10,655.96x = 65,254,727.74
  5. Step 5: Solve for x
    x = 65,254,727.74/10,655.96
  6. Step 6: Final answer
    x = 6,123.78

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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.