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Finding the Fourth Proportional to 8,671.76, 11,967 and 4,894.92

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Solution

The fourth proportional to 8,671.76, 11,967 and 4,894.92 is: 6,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.76 : 11,967 = 4,894.92 : x
  2. Step 2: Convert to fraction form
    8,671.76/11,967 = 4,894.92/x
  3. Step 3: Cross multiply
    8,671.76x = 11,967 × 4,894.92
  4. Step 4: Simplify right side
    8,671.76x = 58,577,507.64
  5. Step 5: Solve for x
    x = 58,577,507.64/8,671.76
  6. Step 6: Final answer
    x = 6,754.97

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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.