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Finding the Fourth Proportional to 10,570.52, 15,858.22 and 3,175.13

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Solution

The fourth proportional to 10,570.52, 15,858.22 and 3,175.13 is: 4,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.52 : 15,858.22 = 3,175.13 : x
  2. Step 2: Convert to fraction form
    10,570.52/15,858.22 = 3,175.13/x
  3. Step 3: Cross multiply
    10,570.52x = 15,858.22 × 3,175.13
  4. Step 4: Simplify right side
    10,570.52x = 50,351,822.84
  5. Step 5: Solve for x
    x = 50,351,822.84/10,570.52
  6. Step 6: Final answer
    x = 4,763.42

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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.