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Finding the Fourth Proportional to 11,175.87, 15,422.71 and 6,140.46

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Solution

The fourth proportional to 11,175.87, 15,422.71 and 6,140.46 is: 8,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.87 : 15,422.71 = 6,140.46 : x
  2. Step 2: Convert to fraction form
    11,175.87/15,422.71 = 6,140.46/x
  3. Step 3: Cross multiply
    11,175.87x = 15,422.71 × 6,140.46
  4. Step 4: Simplify right side
    11,175.87x = 94,702,540.88
  5. Step 5: Solve for x
    x = 94,702,540.88/11,175.87
  6. Step 6: Final answer
    x = 8,473.84

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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.