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Finding the Fourth Proportional to 10,357.74, 14,294.50 and 5,882.90

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Solution

The fourth proportional to 10,357.74, 14,294.50 and 5,882.90 is: 8,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.74 : 14,294.50 = 5,882.90 : x
  2. Step 2: Convert to fraction form
    10,357.74/14,294.50 = 5,882.90/x
  3. Step 3: Cross multiply
    10,357.74x = 14,294.50 × 5,882.90
  4. Step 4: Simplify right side
    10,357.74x = 84,093,114.05
  5. Step 5: Solve for x
    x = 84,093,114.05/10,357.74
  6. Step 6: Final answer
    x = 8,118.87

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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.