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Finding the Fourth Proportional to 12,059.12, 16,640.16 and 6,753.62

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Solution

The fourth proportional to 12,059.12, 16,640.16 and 6,753.62 is: 9,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.12 : 16,640.16 = 6,753.62 : x
  2. Step 2: Convert to fraction form
    12,059.12/16,640.16 = 6,753.62/x
  3. Step 3: Cross multiply
    12,059.12x = 16,640.16 × 6,753.62
  4. Step 4: Simplify right side
    12,059.12x = 112,381,317.38
  5. Step 5: Solve for x
    x = 112,381,317.38/12,059.12
  6. Step 6: Final answer
    x = 9,319.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.