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Finding the Fourth Proportional to 10,418.83, 14,379.86 and 5,882.89

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Solution

The fourth proportional to 10,418.83, 14,379.86 and 5,882.89 is: 8,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.83 : 14,379.86 = 5,882.89 : x
  2. Step 2: Convert to fraction form
    10,418.83/14,379.86 = 5,882.89/x
  3. Step 3: Cross multiply
    10,418.83x = 14,379.86 × 5,882.89
  4. Step 4: Simplify right side
    10,418.83x = 84,595,134.60
  5. Step 5: Solve for x
    x = 84,595,134.60/10,418.83
  6. Step 6: Final answer
    x = 8,119.45

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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.