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Finding the Fourth Proportional to 6,876.16, 10,295.52 and 6,426.88

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Solution

The fourth proportional to 6,876.16, 10,295.52 and 6,426.88 is: 9,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.16 : 10,295.52 = 6,426.88 : x
  2. Step 2: Convert to fraction form
    6,876.16/10,295.52 = 6,426.88/x
  3. Step 3: Cross multiply
    6,876.16x = 10,295.52 × 6,426.88
  4. Step 4: Simplify right side
    6,876.16x = 66,168,071.58
  5. Step 5: Solve for x
    x = 66,168,071.58/6,876.16
  6. Step 6: Final answer
    x = 9,622.82

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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.