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Finding the Fourth Proportional to 6,833.64, 10,250.46 and 5,275.91

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Solution

The fourth proportional to 6,833.64, 10,250.46 and 5,275.91 is: 7,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.64 : 10,250.46 = 5,275.91 : x
  2. Step 2: Convert to fraction form
    6,833.64/10,250.46 = 5,275.91/x
  3. Step 3: Cross multiply
    6,833.64x = 10,250.46 × 5,275.91
  4. Step 4: Simplify right side
    6,833.64x = 54,080,530.04
  5. Step 5: Solve for x
    x = 54,080,530.04/6,833.64
  6. Step 6: Final answer
    x = 7,913.86

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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.