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Finding the Fourth Proportional to 8,111.50, 12,184.53 and 7,637.49

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Solution

The fourth proportional to 8,111.50, 12,184.53 and 7,637.49 is: 11,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.50 : 12,184.53 = 7,637.49 : x
  2. Step 2: Convert to fraction form
    8,111.50/12,184.53 = 7,637.49/x
  3. Step 3: Cross multiply
    8,111.50x = 12,184.53 × 7,637.49
  4. Step 4: Simplify right side
    8,111.50x = 93,059,226.03
  5. Step 5: Solve for x
    x = 93,059,226.03/8,111.50
  6. Step 6: Final answer
    x = 11,472.51

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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.