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Finding the Fourth Proportional to 10,122.64, 13,969.18 and 5,874.52

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Solution

The fourth proportional to 10,122.64, 13,969.18 and 5,874.52 is: 8,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.64 : 13,969.18 = 5,874.52 : x
  2. Step 2: Convert to fraction form
    10,122.64/13,969.18 = 5,874.52/x
  3. Step 3: Cross multiply
    10,122.64x = 13,969.18 × 5,874.52
  4. Step 4: Simplify right side
    10,122.64x = 82,062,227.29
  5. Step 5: Solve for x
    x = 82,062,227.29/10,122.64
  6. Step 6: Final answer
    x = 8,106.80

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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.