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Finding the Fourth Proportional to 10,159.50, 15,239.25 and 4,007.82

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Solution

The fourth proportional to 10,159.50, 15,239.25 and 4,007.82 is: 6,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.50 : 15,239.25 = 4,007.82 : x
  2. Step 2: Convert to fraction form
    10,159.50/15,239.25 = 4,007.82/x
  3. Step 3: Cross multiply
    10,159.50x = 15,239.25 × 4,007.82
  4. Step 4: Simplify right side
    10,159.50x = 61,076,170.94
  5. Step 5: Solve for x
    x = 61,076,170.94/10,159.50
  6. Step 6: Final answer
    x = 6,011.73

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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.