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Finding the Fourth Proportional to 11,575.40, 15,974 and 6,270.20

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Solution

The fourth proportional to 11,575.40, 15,974 and 6,270.20 is: 8,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.40 : 15,974 = 6,270.20 : x
  2. Step 2: Convert to fraction form
    11,575.40/15,974 = 6,270.20/x
  3. Step 3: Cross multiply
    11,575.40x = 15,974 × 6,270.20
  4. Step 4: Simplify right side
    11,575.40x = 100,160,174.80
  5. Step 5: Solve for x
    x = 100,160,174.80/11,575.40
  6. Step 6: Final answer
    x = 8,652.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.