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Finding the Fourth Proportional to 10,082.56, 15,123.94 and 3,508.96

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Solution

The fourth proportional to 10,082.56, 15,123.94 and 3,508.96 is: 5,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.56 : 15,123.94 = 3,508.96 : x
  2. Step 2: Convert to fraction form
    10,082.56/15,123.94 = 3,508.96/x
  3. Step 3: Cross multiply
    10,082.56x = 15,123.94 × 3,508.96
  4. Step 4: Simplify right side
    10,082.56x = 53,069,300.50
  5. Step 5: Solve for x
    x = 53,069,300.50/10,082.56
  6. Step 6: Final answer
    x = 5,263.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.