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Finding the Fourth Proportional to 8,381.50, 12,572.32 and 2,538.58

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Solution

The fourth proportional to 8,381.50, 12,572.32 and 2,538.58 is: 3,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.50 : 12,572.32 = 2,538.58 : x
  2. Step 2: Convert to fraction form
    8,381.50/12,572.32 = 2,538.58/x
  3. Step 3: Cross multiply
    8,381.50x = 12,572.32 × 2,538.58
  4. Step 4: Simplify right side
    8,381.50x = 31,915,840.11
  5. Step 5: Solve for x
    x = 31,915,840.11/8,381.50
  6. Step 6: Final answer
    x = 3,807.89

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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.