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Finding the Fourth Proportional to 7,181.52, 9,907.65 and 5,297.61

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Solution

The fourth proportional to 7,181.52, 9,907.65 and 5,297.61 is: 7,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.52 : 9,907.65 = 5,297.61 : x
  2. Step 2: Convert to fraction form
    7,181.52/9,907.65 = 5,297.61/x
  3. Step 3: Cross multiply
    7,181.52x = 9,907.65 × 5,297.61
  4. Step 4: Simplify right side
    7,181.52x = 52,486,865.72
  5. Step 5: Solve for x
    x = 52,486,865.72/7,181.52
  6. Step 6: Final answer
    x = 7,308.60

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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.