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Finding the Fourth Proportional to 6,306.05, 8,693.25 and 4,411.76

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Solution

The fourth proportional to 6,306.05, 8,693.25 and 4,411.76 is: 6,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.05 : 8,693.25 = 4,411.76 : x
  2. Step 2: Convert to fraction form
    6,306.05/8,693.25 = 4,411.76/x
  3. Step 3: Cross multiply
    6,306.05x = 8,693.25 × 4,411.76
  4. Step 4: Simplify right side
    6,306.05x = 38,352,530.03
  5. Step 5: Solve for x
    x = 38,352,530.03/6,306.05
  6. Step 6: Final answer
    x = 6,081.87

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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.