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Finding the Fourth Proportional to 10,297.60, 15,442.80 and 5,365.60

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Solution

The fourth proportional to 10,297.60, 15,442.80 and 5,365.60 is: 8,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.60 : 15,442.80 = 5,365.60 : x
  2. Step 2: Convert to fraction form
    10,297.60/15,442.80 = 5,365.60/x
  3. Step 3: Cross multiply
    10,297.60x = 15,442.80 × 5,365.60
  4. Step 4: Simplify right side
    10,297.60x = 82,859,887.68
  5. Step 5: Solve for x
    x = 82,859,887.68/10,297.60
  6. Step 6: Final answer
    x = 8,046.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.