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Finding the Fourth Proportional to 6,859.13, 10,275.54 and 4,077.38

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Solution

The fourth proportional to 6,859.13, 10,275.54 and 4,077.38 is: 6,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.13 : 10,275.54 = 4,077.38 : x
  2. Step 2: Convert to fraction form
    6,859.13/10,275.54 = 4,077.38/x
  3. Step 3: Cross multiply
    6,859.13x = 10,275.54 × 4,077.38
  4. Step 4: Simplify right side
    6,859.13x = 41,897,229.91
  5. Step 5: Solve for x
    x = 41,897,229.91/6,859.13
  6. Step 6: Final answer
    x = 6,108.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.