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Finding the Fourth Proportional to 10,093.29, 15,145.20 and 5,719.29

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Solution

The fourth proportional to 10,093.29, 15,145.20 and 5,719.29 is: 8,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.29 : 15,145.20 = 5,719.29 : x
  2. Step 2: Convert to fraction form
    10,093.29/15,145.20 = 5,719.29/x
  3. Step 3: Cross multiply
    10,093.29x = 15,145.20 × 5,719.29
  4. Step 4: Simplify right side
    10,093.29x = 86,619,790.91
  5. Step 5: Solve for x
    x = 86,619,790.91/10,093.29
  6. Step 6: Final answer
    x = 8,581.92

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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.