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Finding the Fourth Proportional to 7,747.84, 10,691.22 and 4,603.42

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Solution

The fourth proportional to 7,747.84, 10,691.22 and 4,603.42 is: 6,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.84 : 10,691.22 = 4,603.42 : x
  2. Step 2: Convert to fraction form
    7,747.84/10,691.22 = 4,603.42/x
  3. Step 3: Cross multiply
    7,747.84x = 10,691.22 × 4,603.42
  4. Step 4: Simplify right side
    7,747.84x = 49,216,175.97
  5. Step 5: Solve for x
    x = 49,216,175.97/7,747.84
  6. Step 6: Final answer
    x = 6,352.24

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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.