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Finding the Fourth Proportional to 7,833.16, 11,750.28 and 2,642.68

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Solution

The fourth proportional to 7,833.16, 11,750.28 and 2,642.68 is: 3,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.16 : 11,750.28 = 2,642.68 : x
  2. Step 2: Convert to fraction form
    7,833.16/11,750.28 = 2,642.68/x
  3. Step 3: Cross multiply
    7,833.16x = 11,750.28 × 2,642.68
  4. Step 4: Simplify right side
    7,833.16x = 31,052,229.95
  5. Step 5: Solve for x
    x = 31,052,229.95/7,833.16
  6. Step 6: Final answer
    x = 3,964.20

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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.