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Finding the Fourth Proportional to 11,441.60, 15,788.94 and 6,661.68

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Solution

The fourth proportional to 11,441.60, 15,788.94 and 6,661.68 is: 9,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.60 : 15,788.94 = 6,661.68 : x
  2. Step 2: Convert to fraction form
    11,441.60/15,788.94 = 6,661.68/x
  3. Step 3: Cross multiply
    11,441.60x = 15,788.94 × 6,661.68
  4. Step 4: Simplify right side
    11,441.60x = 105,180,874.78
  5. Step 5: Solve for x
    x = 105,180,874.78/11,441.60
  6. Step 6: Final answer
    x = 9,192.85

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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.