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Finding the Fourth Proportional to 10,037.42, 15,079.25 and 7,082.69

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Solution

The fourth proportional to 10,037.42, 15,079.25 and 7,082.69 is: 10,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.42 : 15,079.25 = 7,082.69 : x
  2. Step 2: Convert to fraction form
    10,037.42/15,079.25 = 7,082.69/x
  3. Step 3: Cross multiply
    10,037.42x = 15,079.25 × 7,082.69
  4. Step 4: Simplify right side
    10,037.42x = 106,801,670.35
  5. Step 5: Solve for x
    x = 106,801,670.35/10,037.42
  6. Step 6: Final answer
    x = 10,640.35

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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.