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Finding the Fourth Proportional to 10,570.87, 15,856.35 and 3,175.42

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Solution

The fourth proportional to 10,570.87, 15,856.35 and 3,175.42 is: 4,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.87 : 15,856.35 = 3,175.42 : x
  2. Step 2: Convert to fraction form
    10,570.87/15,856.35 = 3,175.42/x
  3. Step 3: Cross multiply
    10,570.87x = 15,856.35 × 3,175.42
  4. Step 4: Simplify right side
    10,570.87x = 50,350,570.92
  5. Step 5: Solve for x
    x = 50,350,570.92/10,570.87
  6. Step 6: Final answer
    x = 4,763.14

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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.