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Finding the Fourth Proportional to 10,589.77, 14,616.75 and 6,608.53

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Solution

The fourth proportional to 10,589.77, 14,616.75 and 6,608.53 is: 9,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.77 : 14,616.75 = 6,608.53 : x
  2. Step 2: Convert to fraction form
    10,589.77/14,616.75 = 6,608.53/x
  3. Step 3: Cross multiply
    10,589.77x = 14,616.75 × 6,608.53
  4. Step 4: Simplify right side
    10,589.77x = 96,595,230.88
  5. Step 5: Solve for x
    x = 96,595,230.88/10,589.77
  6. Step 6: Final answer
    x = 9,121.56

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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.