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Finding the Fourth Proportional to 6,352.07, 8,763.82 and 4,115.66

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Solution

The fourth proportional to 6,352.07, 8,763.82 and 4,115.66 is: 5,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.07 : 8,763.82 = 4,115.66 : x
  2. Step 2: Convert to fraction form
    6,352.07/8,763.82 = 4,115.66/x
  3. Step 3: Cross multiply
    6,352.07x = 8,763.82 × 4,115.66
  4. Step 4: Simplify right side
    6,352.07x = 36,068,903.42
  5. Step 5: Solve for x
    x = 36,068,903.42/6,352.07
  6. Step 6: Final answer
    x = 5,678.29

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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.