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Finding the Fourth Proportional to 10,261.86, 14,151.91 and 6,478.48

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Solution

The fourth proportional to 10,261.86, 14,151.91 and 6,478.48 is: 8,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.86 : 14,151.91 = 6,478.48 : x
  2. Step 2: Convert to fraction form
    10,261.86/14,151.91 = 6,478.48/x
  3. Step 3: Cross multiply
    10,261.86x = 14,151.91 × 6,478.48
  4. Step 4: Simplify right side
    10,261.86x = 91,682,865.90
  5. Step 5: Solve for x
    x = 91,682,865.90/10,261.86
  6. Step 6: Final answer
    x = 8,934.33

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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.