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Finding the Fourth Proportional to 10,842.57, 16,237.86 and 5,563.68

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Solution

The fourth proportional to 10,842.57, 16,237.86 and 5,563.68 is: 8,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.57 : 16,237.86 = 5,563.68 : x
  2. Step 2: Convert to fraction form
    10,842.57/16,237.86 = 5,563.68/x
  3. Step 3: Cross multiply
    10,842.57x = 16,237.86 × 5,563.68
  4. Step 4: Simplify right side
    10,842.57x = 90,342,256.92
  5. Step 5: Solve for x
    x = 90,342,256.92/10,842.57
  6. Step 6: Final answer
    x = 8,332.18

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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.