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Finding the Fourth Proportional to 7,833.28, 10,807.68 and 5,179.72

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Solution

The fourth proportional to 7,833.28, 10,807.68 and 5,179.72 is: 7,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.28 : 10,807.68 = 5,179.72 : x
  2. Step 2: Convert to fraction form
    7,833.28/10,807.68 = 5,179.72/x
  3. Step 3: Cross multiply
    7,833.28x = 10,807.68 × 5,179.72
  4. Step 4: Simplify right side
    7,833.28x = 55,980,756.25
  5. Step 5: Solve for x
    x = 55,980,756.25/7,833.28
  6. Step 6: Final answer
    x = 7,146.53

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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.