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Finding the Fourth Proportional to 7,821.29, 10,793.34 and 4,464.16

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Solution

The fourth proportional to 7,821.29, 10,793.34 and 4,464.16 is: 6,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.29 : 10,793.34 = 4,464.16 : x
  2. Step 2: Convert to fraction form
    7,821.29/10,793.34 = 4,464.16/x
  3. Step 3: Cross multiply
    7,821.29x = 10,793.34 × 4,464.16
  4. Step 4: Simplify right side
    7,821.29x = 48,183,169.71
  5. Step 5: Solve for x
    x = 48,183,169.71/7,821.29
  6. Step 6: Final answer
    x = 6,160.51

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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.