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Finding the Fourth Proportional to 6,830.52, 10,248.27 and 2,882.76

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Solution

The fourth proportional to 6,830.52, 10,248.27 and 2,882.76 is: 4,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.52 : 10,248.27 = 2,882.76 : x
  2. Step 2: Convert to fraction form
    6,830.52/10,248.27 = 2,882.76/x
  3. Step 3: Cross multiply
    6,830.52x = 10,248.27 × 2,882.76
  4. Step 4: Simplify right side
    6,830.52x = 29,543,302.83
  5. Step 5: Solve for x
    x = 29,543,302.83/6,830.52
  6. Step 6: Final answer
    x = 4,325.19

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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.