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Finding the Fourth Proportional to 10,642.50, 14,687.24 and 6,394.86

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Solution

The fourth proportional to 10,642.50, 14,687.24 and 6,394.86 is: 8,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.50 : 14,687.24 = 6,394.86 : x
  2. Step 2: Convert to fraction form
    10,642.50/14,687.24 = 6,394.86/x
  3. Step 3: Cross multiply
    10,642.50x = 14,687.24 × 6,394.86
  4. Step 4: Simplify right side
    10,642.50x = 93,922,843.59
  5. Step 5: Solve for x
    x = 93,922,843.59/10,642.50
  6. Step 6: Final answer
    x = 8,825.26

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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.