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Finding the Fourth Proportional to 6,854.56, 10,275.30 and 3,159.28

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Solution

The fourth proportional to 6,854.56, 10,275.30 and 3,159.28 is: 4,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.56 : 10,275.30 = 3,159.28 : x
  2. Step 2: Convert to fraction form
    6,854.56/10,275.30 = 3,159.28/x
  3. Step 3: Cross multiply
    6,854.56x = 10,275.30 × 3,159.28
  4. Step 4: Simplify right side
    6,854.56x = 32,462,549.78
  5. Step 5: Solve for x
    x = 32,462,549.78/6,854.56
  6. Step 6: Final answer
    x = 4,735.91

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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.