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Finding the Fourth Proportional to 7,677.80, 10,589.70 and 5,688.44

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Solution

The fourth proportional to 7,677.80, 10,589.70 and 5,688.44 is: 7,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.80 : 10,589.70 = 5,688.44 : x
  2. Step 2: Convert to fraction form
    7,677.80/10,589.70 = 5,688.44/x
  3. Step 3: Cross multiply
    7,677.80x = 10,589.70 × 5,688.44
  4. Step 4: Simplify right side
    7,677.80x = 60,238,873.07
  5. Step 5: Solve for x
    x = 60,238,873.07/7,677.80
  6. Step 6: Final answer
    x = 7,845.85

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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.