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Finding the Fourth Proportional to 7,781.13, 10,734.03 and 5,127.57

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Solution

The fourth proportional to 7,781.13, 10,734.03 and 5,127.57 is: 7,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.13 : 10,734.03 = 5,127.57 : x
  2. Step 2: Convert to fraction form
    7,781.13/10,734.03 = 5,127.57/x
  3. Step 3: Cross multiply
    7,781.13x = 10,734.03 × 5,127.57
  4. Step 4: Simplify right side
    7,781.13x = 55,039,490.21
  5. Step 5: Solve for x
    x = 55,039,490.21/7,781.13
  6. Step 6: Final answer
    x = 7,073.46

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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.