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Finding the Fourth Proportional to 10,082.93, 13,915.67 and 6,103.94

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Solution

The fourth proportional to 10,082.93, 13,915.67 and 6,103.94 is: 8,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.93 : 13,915.67 = 6,103.94 : x
  2. Step 2: Convert to fraction form
    10,082.93/13,915.67 = 6,103.94/x
  3. Step 3: Cross multiply
    10,082.93x = 13,915.67 × 6,103.94
  4. Step 4: Simplify right side
    10,082.93x = 84,940,314.64
  5. Step 5: Solve for x
    x = 84,940,314.64/10,082.93
  6. Step 6: Final answer
    x = 8,424.17

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