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Finding the Fourth Proportional to 12,059.38, 16,641.75 and 6,754.15

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Solution

The fourth proportional to 12,059.38, 16,641.75 and 6,754.15 is: 9,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.38 : 16,641.75 = 6,754.15 : x
  2. Step 2: Convert to fraction form
    12,059.38/16,641.75 = 6,754.15/x
  3. Step 3: Cross multiply
    12,059.38x = 16,641.75 × 6,754.15
  4. Step 4: Simplify right side
    12,059.38x = 112,400,875.76
  5. Step 5: Solve for x
    x = 112,400,875.76/12,059.38
  6. Step 6: Final answer
    x = 9,320.62

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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.