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Finding the Fourth Proportional to 8,265.60, 11,398.32 and 7,321.68

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Solution

The fourth proportional to 8,265.60, 11,398.32 and 7,321.68 is: 10,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.60 : 11,398.32 = 7,321.68 : x
  2. Step 2: Convert to fraction form
    8,265.60/11,398.32 = 7,321.68/x
  3. Step 3: Cross multiply
    8,265.60x = 11,398.32 × 7,321.68
  4. Step 4: Simplify right side
    8,265.60x = 83,454,851.58
  5. Step 5: Solve for x
    x = 83,454,851.58/8,265.60
  6. Step 6: Final answer
    x = 10,096.65

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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.