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Finding the Fourth Proportional to 7,126.53, 9,833.06 and 4,140.83

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Solution

The fourth proportional to 7,126.53, 9,833.06 and 4,140.83 is: 5,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.53 : 9,833.06 = 4,140.83 : x
  2. Step 2: Convert to fraction form
    7,126.53/9,833.06 = 4,140.83/x
  3. Step 3: Cross multiply
    7,126.53x = 9,833.06 × 4,140.83
  4. Step 4: Simplify right side
    7,126.53x = 40,716,959.97
  5. Step 5: Solve for x
    x = 40,716,959.97/7,126.53
  6. Step 6: Final answer
    x = 5,713.43

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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.