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Finding the Fourth Proportional to 10,542.96, 15,833.88 and 8,365.68

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Solution

The fourth proportional to 10,542.96, 15,833.88 and 8,365.68 is: 12,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.96 : 15,833.88 = 8,365.68 : x
  2. Step 2: Convert to fraction form
    10,542.96/15,833.88 = 8,365.68/x
  3. Step 3: Cross multiply
    10,542.96x = 15,833.88 × 8,365.68
  4. Step 4: Simplify right side
    10,542.96x = 132,461,173.24
  5. Step 5: Solve for x
    x = 132,461,173.24/10,542.96
  6. Step 6: Final answer
    x = 12,563.95

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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.