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Finding the Fourth Proportional to 10,574.43, 15,863.48 and 5,309.84

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Solution

The fourth proportional to 10,574.43, 15,863.48 and 5,309.84 is: 7,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.43 : 15,863.48 = 5,309.84 : x
  2. Step 2: Convert to fraction form
    10,574.43/15,863.48 = 5,309.84/x
  3. Step 3: Cross multiply
    10,574.43x = 15,863.48 × 5,309.84
  4. Step 4: Simplify right side
    10,574.43x = 84,232,434.78
  5. Step 5: Solve for x
    x = 84,232,434.78/10,574.43
  6. Step 6: Final answer
    x = 7,965.67

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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.