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Finding the Fourth Proportional to 8,441.76, 11,649.60 and 4,665.12

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Solution

The fourth proportional to 8,441.76, 11,649.60 and 4,665.12 is: 6,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.76 : 11,649.60 = 4,665.12 : x
  2. Step 2: Convert to fraction form
    8,441.76/11,649.60 = 4,665.12/x
  3. Step 3: Cross multiply
    8,441.76x = 11,649.60 × 4,665.12
  4. Step 4: Simplify right side
    8,441.76x = 54,346,781.95
  5. Step 5: Solve for x
    x = 54,346,781.95/8,441.76
  6. Step 6: Final answer
    x = 6,437.85

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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.