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Finding the Fourth Proportional to 10,124.88, 15,162.21 and 7,008

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Solution

The fourth proportional to 10,124.88, 15,162.21 and 7,008 is: 10,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.88 : 15,162.21 = 7,008 : x
  2. Step 2: Convert to fraction form
    10,124.88/15,162.21 = 7,008/x
  3. Step 3: Cross multiply
    10,124.88x = 15,162.21 × 7,008
  4. Step 4: Simplify right side
    10,124.88x = 106,256,767.68
  5. Step 5: Solve for x
    x = 106,256,767.68/10,124.88
  6. Step 6: Final answer
    x = 10,494.62

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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.