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Finding the Fourth Proportional to 10,061, 13,884.18 and 5,868.44

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Solution

The fourth proportional to 10,061, 13,884.18 and 5,868.44 is: 8,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061 : 13,884.18 = 5,868.44 : x
  2. Step 2: Convert to fraction form
    10,061/13,884.18 = 5,868.44/x
  3. Step 3: Cross multiply
    10,061x = 13,884.18 × 5,868.44
  4. Step 4: Simplify right side
    10,061x = 81,478,477.28
  5. Step 5: Solve for x
    x = 81,478,477.28/10,061
  6. Step 6: Final answer
    x = 8,098.45

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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.