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Finding the Fourth Proportional to 10,062, 13,885.56 and 5,869.44

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Solution

The fourth proportional to 10,062, 13,885.56 and 5,869.44 is: 8,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062 : 13,885.56 = 5,869.44 : x
  2. Step 2: Convert to fraction form
    10,062/13,885.56 = 5,869.44/x
  3. Step 3: Cross multiply
    10,062x = 13,885.56 × 5,869.44
  4. Step 4: Simplify right side
    10,062x = 81,500,461.29
  5. Step 5: Solve for x
    x = 81,500,461.29/10,062
  6. Step 6: Final answer
    x = 8,099.83

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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.