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Finding the Fourth Proportional to 10,323.78, 14,248.89 and 6,131.22

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Solution

The fourth proportional to 10,323.78, 14,248.89 and 6,131.22 is: 8,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.78 : 14,248.89 = 6,131.22 : x
  2. Step 2: Convert to fraction form
    10,323.78/14,248.89 = 6,131.22/x
  3. Step 3: Cross multiply
    10,323.78x = 14,248.89 × 6,131.22
  4. Step 4: Simplify right side
    10,323.78x = 87,363,079.35
  5. Step 5: Solve for x
    x = 87,363,079.35/10,323.78
  6. Step 6: Final answer
    x = 8,462.32

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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.