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Finding the Fourth Proportional to 8,671.72, 12,982.06 and 5,374.21

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Solution

The fourth proportional to 8,671.72, 12,982.06 and 5,374.21 is: 8,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.72 : 12,982.06 = 5,374.21 : x
  2. Step 2: Convert to fraction form
    8,671.72/12,982.06 = 5,374.21/x
  3. Step 3: Cross multiply
    8,671.72x = 12,982.06 × 5,374.21
  4. Step 4: Simplify right side
    8,671.72x = 69,768,316.67
  5. Step 5: Solve for x
    x = 69,768,316.67/8,671.72
  6. Step 6: Final answer
    x = 8,045.50

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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.