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Finding the Fourth Proportional to 7,781.12, 10,737.04 and 4,424.32

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Solution

The fourth proportional to 7,781.12, 10,737.04 and 4,424.32 is: 6,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.12 : 10,737.04 = 4,424.32 : x
  2. Step 2: Convert to fraction form
    7,781.12/10,737.04 = 4,424.32/x
  3. Step 3: Cross multiply
    7,781.12x = 10,737.04 × 4,424.32
  4. Step 4: Simplify right side
    7,781.12x = 47,504,100.81
  5. Step 5: Solve for x
    x = 47,504,100.81/7,781.12
  6. Step 6: Final answer
    x = 6,105.05

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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.