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Finding the Fourth Proportional to 7,833.81, 11,752.07 and 4,139.13

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Solution

The fourth proportional to 7,833.81, 11,752.07 and 4,139.13 is: 6,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.81 : 11,752.07 = 4,139.13 : x
  2. Step 2: Convert to fraction form
    7,833.81/11,752.07 = 4,139.13/x
  3. Step 3: Cross multiply
    7,833.81x = 11,752.07 × 4,139.13
  4. Step 4: Simplify right side
    7,833.81x = 48,643,324.80
  5. Step 5: Solve for x
    x = 48,643,324.80/7,833.81
  6. Step 6: Final answer
    x = 6,209.41

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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.