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Finding the Fourth Proportional to 8,437, 12,644.38 and 7,336.12

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Solution

The fourth proportional to 8,437, 12,644.38 and 7,336.12 is: 10,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437 : 12,644.38 = 7,336.12 : x
  2. Step 2: Convert to fraction form
    8,437/12,644.38 = 7,336.12/x
  3. Step 3: Cross multiply
    8,437x = 12,644.38 × 7,336.12
  4. Step 4: Simplify right side
    8,437x = 92,760,689.01
  5. Step 5: Solve for x
    x = 92,760,689.01/8,437
  6. Step 6: Final answer
    x = 10,994.51

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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.