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Finding the Fourth Proportional to 7,181.54, 9,907.69 and 5,297.66

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Solution

The fourth proportional to 7,181.54, 9,907.69 and 5,297.66 is: 7,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.54 : 9,907.69 = 5,297.66 : x
  2. Step 2: Convert to fraction form
    7,181.54/9,907.69 = 5,297.66/x
  3. Step 3: Cross multiply
    7,181.54x = 9,907.69 × 5,297.66
  4. Step 4: Simplify right side
    7,181.54x = 52,487,573.01
  5. Step 5: Solve for x
    x = 52,487,573.01/7,181.54
  6. Step 6: Final answer
    x = 7,308.68

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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.