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Finding the Fourth Proportional to 10,842.18, 16,255.38 and 7,323.46

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Solution

The fourth proportional to 10,842.18, 16,255.38 and 7,323.46 is: 10,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.18 : 16,255.38 = 7,323.46 : x
  2. Step 2: Convert to fraction form
    10,842.18/16,255.38 = 7,323.46/x
  3. Step 3: Cross multiply
    10,842.18x = 16,255.38 × 7,323.46
  4. Step 4: Simplify right side
    10,842.18x = 119,045,625.21
  5. Step 5: Solve for x
    x = 119,045,625.21/10,842.18
  6. Step 6: Final answer
    x = 10,979.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.