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Finding the Fourth Proportional to 10,671.68, 14,725.56 and 5,956.16

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Solution

The fourth proportional to 10,671.68, 14,725.56 and 5,956.16 is: 8,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.68 : 14,725.56 = 5,956.16 : x
  2. Step 2: Convert to fraction form
    10,671.68/14,725.56 = 5,956.16/x
  3. Step 3: Cross multiply
    10,671.68x = 14,725.56 × 5,956.16
  4. Step 4: Simplify right side
    10,671.68x = 87,707,791.45
  5. Step 5: Solve for x
    x = 87,707,791.45/10,671.68
  6. Step 6: Final answer
    x = 8,218.74

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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.