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Finding the Fourth Proportional to 7,677.75, 10,593.70 and 4,490.42

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Solution

The fourth proportional to 7,677.75, 10,593.70 and 4,490.42 is: 6,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.75 : 10,593.70 = 4,490.42 : x
  2. Step 2: Convert to fraction form
    7,677.75/10,593.70 = 4,490.42/x
  3. Step 3: Cross multiply
    7,677.75x = 10,593.70 × 4,490.42
  4. Step 4: Simplify right side
    7,677.75x = 47,570,162.35
  5. Step 5: Solve for x
    x = 47,570,162.35/7,677.75
  6. Step 6: Final answer
    x = 6,195.85

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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.