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Finding the Fourth Proportional to 10,337.97, 14,266.08 and 5,862.12

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Solution

The fourth proportional to 10,337.97, 14,266.08 and 5,862.12 is: 8,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.97 : 14,266.08 = 5,862.12 : x
  2. Step 2: Convert to fraction form
    10,337.97/14,266.08 = 5,862.12/x
  3. Step 3: Cross multiply
    10,337.97x = 14,266.08 × 5,862.12
  4. Step 4: Simplify right side
    10,337.97x = 83,629,472.89
  5. Step 5: Solve for x
    x = 83,629,472.89/10,337.97
  6. Step 6: Final answer
    x = 8,089.54

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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.