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Finding the Fourth Proportional to 10,076.74, 15,109.92 and 4,525.34

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Solution

The fourth proportional to 10,076.74, 15,109.92 and 4,525.34 is: 6,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.74 : 15,109.92 = 4,525.34 : x
  2. Step 2: Convert to fraction form
    10,076.74/15,109.92 = 4,525.34/x
  3. Step 3: Cross multiply
    10,076.74x = 15,109.92 × 4,525.34
  4. Step 4: Simplify right side
    10,076.74x = 68,377,525.37
  5. Step 5: Solve for x
    x = 68,377,525.37/10,076.74
  6. Step 6: Final answer
    x = 6,785.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.