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Finding the Fourth Proportional to 8,325.50, 12,482.10 and 3,937.82

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Solution

The fourth proportional to 8,325.50, 12,482.10 and 3,937.82 is: 5,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.50 : 12,482.10 = 3,937.82 : x
  2. Step 2: Convert to fraction form
    8,325.50/12,482.10 = 3,937.82/x
  3. Step 3: Cross multiply
    8,325.50x = 12,482.10 × 3,937.82
  4. Step 4: Simplify right side
    8,325.50x = 49,152,294.23
  5. Step 5: Solve for x
    x = 49,152,294.23/8,325.50
  6. Step 6: Final answer
    x = 5,903.82

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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.