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Finding the Fourth Proportional to 10,379.78, 14,323.53 and 5,902.91

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Solution

The fourth proportional to 10,379.78, 14,323.53 and 5,902.91 is: 8,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.78 : 14,323.53 = 5,902.91 : x
  2. Step 2: Convert to fraction form
    10,379.78/14,323.53 = 5,902.91/x
  3. Step 3: Cross multiply
    10,379.78x = 14,323.53 × 5,902.91
  4. Step 4: Simplify right side
    10,379.78x = 84,550,508.47
  5. Step 5: Solve for x
    x = 84,550,508.47/10,379.78
  6. Step 6: Final answer
    x = 8,145.69

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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.