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Finding the Fourth Proportional to 10,082.46, 13,908.90 and 7,840.38

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Solution

The fourth proportional to 10,082.46, 13,908.90 and 7,840.38 is: 10,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.46 : 13,908.90 = 7,840.38 : x
  2. Step 2: Convert to fraction form
    10,082.46/13,908.90 = 7,840.38/x
  3. Step 3: Cross multiply
    10,082.46x = 13,908.90 × 7,840.38
  4. Step 4: Simplify right side
    10,082.46x = 109,051,061.38
  5. Step 5: Solve for x
    x = 109,051,061.38/10,082.46
  6. Step 6: Final answer
    x = 10,815.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.