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Finding the Fourth Proportional to 11,175.83, 15,424.52 and 6,395.97

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Solution

The fourth proportional to 11,175.83, 15,424.52 and 6,395.97 is: 8,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.83 : 15,424.52 = 6,395.97 : x
  2. Step 2: Convert to fraction form
    11,175.83/15,424.52 = 6,395.97/x
  3. Step 3: Cross multiply
    11,175.83x = 15,424.52 × 6,395.97
  4. Step 4: Simplify right side
    11,175.83x = 98,654,767.18
  5. Step 5: Solve for x
    x = 98,654,767.18/11,175.83
  6. Step 6: Final answer
    x = 8,827.51

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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.