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Finding the Fourth Proportional to 10,279, 15,419.22 and 4,123

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Solution

The fourth proportional to 10,279, 15,419.22 and 4,123 is: 6,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279 : 15,419.22 = 4,123 : x
  2. Step 2: Convert to fraction form
    10,279/15,419.22 = 4,123/x
  3. Step 3: Cross multiply
    10,279x = 15,419.22 × 4,123
  4. Step 4: Simplify right side
    10,279x = 63,573,444.06
  5. Step 5: Solve for x
    x = 63,573,444.06/10,279
  6. Step 6: Final answer
    x = 6,184.79

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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.