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Finding the Fourth Proportional to 10,574.40, 15,856.20 and 3,910.56

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Solution

The fourth proportional to 10,574.40, 15,856.20 and 3,910.56 is: 5,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.40 : 15,856.20 = 3,910.56 : x
  2. Step 2: Convert to fraction form
    10,574.40/15,856.20 = 3,910.56/x
  3. Step 3: Cross multiply
    10,574.40x = 15,856.20 × 3,910.56
  4. Step 4: Simplify right side
    10,574.40x = 62,006,621.47
  5. Step 5: Solve for x
    x = 62,006,621.47/10,574.40
  6. Step 6: Final answer
    x = 5,863.84

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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.