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Finding the Fourth Proportional to 10,043.93, 15,063.73 and 4,115

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Solution

The fourth proportional to 10,043.93, 15,063.73 and 4,115 is: 6,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.93 : 15,063.73 = 4,115 : x
  2. Step 2: Convert to fraction form
    10,043.93/15,063.73 = 4,115/x
  3. Step 3: Cross multiply
    10,043.93x = 15,063.73 × 4,115
  4. Step 4: Simplify right side
    10,043.93x = 61,987,228.38
  5. Step 5: Solve for x
    x = 61,987,228.38/10,043.93
  6. Step 6: Final answer
    x = 6,171.61

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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.