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Finding the Fourth Proportional to 10,475.88, 15,716.58 and 6,089.58

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Solution

The fourth proportional to 10,475.88, 15,716.58 and 6,089.58 is: 9,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.88 : 15,716.58 = 6,089.58 : x
  2. Step 2: Convert to fraction form
    10,475.88/15,716.58 = 6,089.58/x
  3. Step 3: Cross multiply
    10,475.88x = 15,716.58 × 6,089.58
  4. Step 4: Simplify right side
    10,475.88x = 95,707,382.65
  5. Step 5: Solve for x
    x = 95,707,382.65/10,475.88
  6. Step 6: Final answer
    x = 9,135.97

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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.