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Finding the Fourth Proportional to 10,007.76, 15,003.54 and 4,168.74

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Solution

The fourth proportional to 10,007.76, 15,003.54 and 4,168.74 is: 6,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.76 : 15,003.54 = 4,168.74 : x
  2. Step 2: Convert to fraction form
    10,007.76/15,003.54 = 4,168.74/x
  3. Step 3: Cross multiply
    10,007.76x = 15,003.54 × 4,168.74
  4. Step 4: Simplify right side
    10,007.76x = 62,545,836.50
  5. Step 5: Solve for x
    x = 62,545,836.50/10,007.76
  6. Step 6: Final answer
    x = 6,249.73

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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.