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Finding the Fourth Proportional to 10,098.61, 13,941.55 and 7,082.99

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Solution

The fourth proportional to 10,098.61, 13,941.55 and 7,082.99 is: 9,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.61 : 13,941.55 = 7,082.99 : x
  2. Step 2: Convert to fraction form
    10,098.61/13,941.55 = 7,082.99/x
  3. Step 3: Cross multiply
    10,098.61x = 13,941.55 × 7,082.99
  4. Step 4: Simplify right side
    10,098.61x = 98,747,859.23
  5. Step 5: Solve for x
    x = 98,747,859.23/10,098.61
  6. Step 6: Final answer
    x = 9,778.36

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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.