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Finding the Fourth Proportional to 11,175.76, 15,422.80 and 6,140.29

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Solution

The fourth proportional to 11,175.76, 15,422.80 and 6,140.29 is: 8,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.76 : 15,422.80 = 6,140.29 : x
  2. Step 2: Convert to fraction form
    11,175.76/15,422.80 = 6,140.29/x
  3. Step 3: Cross multiply
    11,175.76x = 15,422.80 × 6,140.29
  4. Step 4: Simplify right side
    11,175.76x = 94,700,464.61
  5. Step 5: Solve for x
    x = 94,700,464.61/11,175.76
  6. Step 6: Final answer
    x = 8,473.74

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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.