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Finding the Fourth Proportional to 10,064.75, 15,082.54 and 5,672.86

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Solution

The fourth proportional to 10,064.75, 15,082.54 and 5,672.86 is: 8,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.75 : 15,082.54 = 5,672.86 : x
  2. Step 2: Convert to fraction form
    10,064.75/15,082.54 = 5,672.86/x
  3. Step 3: Cross multiply
    10,064.75x = 15,082.54 × 5,672.86
  4. Step 4: Simplify right side
    10,064.75x = 85,561,085.98
  5. Step 5: Solve for x
    x = 85,561,085.98/10,064.75
  6. Step 6: Final answer
    x = 8,501.07

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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.