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Finding the Fourth Proportional to 7,849.01, 10,833.37 and 6,144.13

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Solution

The fourth proportional to 7,849.01, 10,833.37 and 6,144.13 is: 8,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.01 : 10,833.37 = 6,144.13 : x
  2. Step 2: Convert to fraction form
    7,849.01/10,833.37 = 6,144.13/x
  3. Step 3: Cross multiply
    7,849.01x = 10,833.37 × 6,144.13
  4. Step 4: Simplify right side
    7,849.01x = 66,561,591.17
  5. Step 5: Solve for x
    x = 66,561,591.17/7,849.01
  6. Step 6: Final answer
    x = 8,480.25

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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.