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Finding the Fourth Proportional to 10,377.96, 14,323.19 and 6,129.48

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Solution

The fourth proportional to 10,377.96, 14,323.19 and 6,129.48 is: 8,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.96 : 14,323.19 = 6,129.48 : x
  2. Step 2: Convert to fraction form
    10,377.96/14,323.19 = 6,129.48/x
  3. Step 3: Cross multiply
    10,377.96x = 14,323.19 × 6,129.48
  4. Step 4: Simplify right side
    10,377.96x = 87,793,706.64
  5. Step 5: Solve for x
    x = 87,793,706.64/10,377.96
  6. Step 6: Final answer
    x = 8,459.63

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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.