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Finding the Fourth Proportional to 7,778.40, 10,734.12 and 4,793.04

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Solution

The fourth proportional to 7,778.40, 10,734.12 and 4,793.04 is: 6,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.40 : 10,734.12 = 4,793.04 : x
  2. Step 2: Convert to fraction form
    7,778.40/10,734.12 = 4,793.04/x
  3. Step 3: Cross multiply
    7,778.40x = 10,734.12 × 4,793.04
  4. Step 4: Simplify right side
    7,778.40x = 51,449,066.52
  5. Step 5: Solve for x
    x = 51,449,066.52/7,778.40
  6. Step 6: Final answer
    x = 6,614.35

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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.