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Finding the Fourth Proportional to 10,061, 13,884.18 and 5,869.28

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Solution

The fourth proportional to 10,061, 13,884.18 and 5,869.28 is: 8,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061 : 13,884.18 = 5,869.28 : x
  2. Step 2: Convert to fraction form
    10,061/13,884.18 = 5,869.28/x
  3. Step 3: Cross multiply
    10,061x = 13,884.18 × 5,869.28
  4. Step 4: Simplify right side
    10,061x = 81,490,139.99
  5. Step 5: Solve for x
    x = 81,490,139.99/10,061
  6. Step 6: Final answer
    x = 8,099.61

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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.