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Finding the Fourth Proportional to 10,694.38, 14,758.58 and 5,978.65

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Solution

The fourth proportional to 10,694.38, 14,758.58 and 5,978.65 is: 8,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.38 : 14,758.58 = 5,978.65 : x
  2. Step 2: Convert to fraction form
    10,694.38/14,758.58 = 5,978.65/x
  3. Step 3: Cross multiply
    10,694.38x = 14,758.58 × 5,978.65
  4. Step 4: Simplify right side
    10,694.38x = 88,236,384.32
  5. Step 5: Solve for x
    x = 88,236,384.32/10,694.38
  6. Step 6: Final answer
    x = 8,250.72

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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.