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Finding the Fourth Proportional to 10,589.67, 15,889.89 and 5,041.98

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Solution

The fourth proportional to 10,589.67, 15,889.89 and 5,041.98 is: 7,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.67 : 15,889.89 = 5,041.98 : x
  2. Step 2: Convert to fraction form
    10,589.67/15,889.89 = 5,041.98/x
  3. Step 3: Cross multiply
    10,589.67x = 15,889.89 × 5,041.98
  4. Step 4: Simplify right side
    10,589.67x = 80,116,507.58
  5. Step 5: Solve for x
    x = 80,116,507.58/10,589.67
  6. Step 6: Final answer
    x = 7,565.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.