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Finding the Fourth Proportional to 6,956.32, 10,440.60 and 3,671.77

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Solution

The fourth proportional to 6,956.32, 10,440.60 and 3,671.77 is: 5,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.32 : 10,440.60 = 3,671.77 : x
  2. Step 2: Convert to fraction form
    6,956.32/10,440.60 = 3,671.77/x
  3. Step 3: Cross multiply
    6,956.32x = 10,440.60 × 3,671.77
  4. Step 4: Simplify right side
    6,956.32x = 38,335,481.86
  5. Step 5: Solve for x
    x = 38,335,481.86/6,956.32
  6. Step 6: Final answer
    x = 5,510.89

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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.