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Finding the Fourth Proportional to 7,862.72, 10,853.28 and 5,069.12

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Solution

The fourth proportional to 7,862.72, 10,853.28 and 5,069.12 is: 6,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.72 : 10,853.28 = 5,069.12 : x
  2. Step 2: Convert to fraction form
    7,862.72/10,853.28 = 5,069.12/x
  3. Step 3: Cross multiply
    7,862.72x = 10,853.28 × 5,069.12
  4. Step 4: Simplify right side
    7,862.72x = 55,016,578.71
  5. Step 5: Solve for x
    x = 55,016,578.71/7,862.72
  6. Step 6: Final answer
    x = 6,997.14

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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.