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Finding the Fourth Proportional to 8,175.74, 11,292.82 and 7,111.40

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Solution

The fourth proportional to 8,175.74, 11,292.82 and 7,111.40 is: 9,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.74 : 11,292.82 = 7,111.40 : x
  2. Step 2: Convert to fraction form
    8,175.74/11,292.82 = 7,111.40/x
  3. Step 3: Cross multiply
    8,175.74x = 11,292.82 × 7,111.40
  4. Step 4: Simplify right side
    8,175.74x = 80,307,685.91
  5. Step 5: Solve for x
    x = 80,307,685.91/8,175.74
  6. Step 6: Final answer
    x = 9,822.69

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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.