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Finding the Fourth Proportional to 10,784.66, 16,166.03 and 8,182.13

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Solution

The fourth proportional to 10,784.66, 16,166.03 and 8,182.13 is: 12,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.66 : 16,166.03 = 8,182.13 : x
  2. Step 2: Convert to fraction form
    10,784.66/16,166.03 = 8,182.13/x
  3. Step 3: Cross multiply
    10,784.66x = 16,166.03 × 8,182.13
  4. Step 4: Simplify right side
    10,784.66x = 132,272,437.30
  5. Step 5: Solve for x
    x = 132,272,437.30/10,784.66
  6. Step 6: Final answer
    x = 12,264.87

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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.