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Finding the Fourth Proportional to 10,986.52, 16,494 and 9,436.54

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Solution

The fourth proportional to 10,986.52, 16,494 and 9,436.54 is: 14,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.52 : 16,494 = 9,436.54 : x
  2. Step 2: Convert to fraction form
    10,986.52/16,494 = 9,436.54/x
  3. Step 3: Cross multiply
    10,986.52x = 16,494 × 9,436.54
  4. Step 4: Simplify right side
    10,986.52x = 155,646,290.76
  5. Step 5: Solve for x
    x = 155,646,290.76/10,986.52
  6. Step 6: Final answer
    x = 14,167.02

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Why These Related Problems?

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