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Finding the Fourth Proportional to 10,589, 14,614.08 and 6,113.84

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Solution

The fourth proportional to 10,589, 14,614.08 and 6,113.84 is: 8,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589 : 14,614.08 = 6,113.84 : x
  2. Step 2: Convert to fraction form
    10,589/14,614.08 = 6,113.84/x
  3. Step 3: Cross multiply
    10,589x = 14,614.08 × 6,113.84
  4. Step 4: Simplify right side
    10,589x = 89,348,146.87
  5. Step 5: Solve for x
    x = 89,348,146.87/10,589
  6. Step 6: Final answer
    x = 8,437.83

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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.