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Finding the Fourth Proportional to 8,671.32, 13,001.58 and 2,827.08

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Solution

The fourth proportional to 8,671.32, 13,001.58 and 2,827.08 is: 4,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.32 : 13,001.58 = 2,827.08 : x
  2. Step 2: Convert to fraction form
    8,671.32/13,001.58 = 2,827.08/x
  3. Step 3: Cross multiply
    8,671.32x = 13,001.58 × 2,827.08
  4. Step 4: Simplify right side
    8,671.32x = 36,756,506.79
  5. Step 5: Solve for x
    x = 36,756,506.79/8,671.32
  6. Step 6: Final answer
    x = 4,238.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.