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Finding the Fourth Proportional to 10,124.50, 15,194.58 and 7,026.25

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Solution

The fourth proportional to 10,124.50, 15,194.58 and 7,026.25 is: 10,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.50 : 15,194.58 = 7,026.25 : x
  2. Step 2: Convert to fraction form
    10,124.50/15,194.58 = 7,026.25/x
  3. Step 3: Cross multiply
    10,124.50x = 15,194.58 × 7,026.25
  4. Step 4: Simplify right side
    10,124.50x = 106,760,917.73
  5. Step 5: Solve for x
    x = 106,760,917.73/10,124.50
  6. Step 6: Final answer
    x = 10,544.81

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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.