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Finding the Fourth Proportional to 8,348.16, 11,497.22 and 6,452.76

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Solution

The fourth proportional to 8,348.16, 11,497.22 and 6,452.76 is: 8,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.16 : 11,497.22 = 6,452.76 : x
  2. Step 2: Convert to fraction form
    8,348.16/11,497.22 = 6,452.76/x
  3. Step 3: Cross multiply
    8,348.16x = 11,497.22 × 6,452.76
  4. Step 4: Simplify right side
    8,348.16x = 74,188,801.33
  5. Step 5: Solve for x
    x = 74,188,801.33/8,348.16
  6. Step 6: Final answer
    x = 8,886.84

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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.