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Finding the Fourth Proportional to 8,237.50, 12,356.25 and 3,043.38

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Solution

The fourth proportional to 8,237.50, 12,356.25 and 3,043.38 is: 4,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.50 : 12,356.25 = 3,043.38 : x
  2. Step 2: Convert to fraction form
    8,237.50/12,356.25 = 3,043.38/x
  3. Step 3: Cross multiply
    8,237.50x = 12,356.25 × 3,043.38
  4. Step 4: Simplify right side
    8,237.50x = 37,604,764.13
  5. Step 5: Solve for x
    x = 37,604,764.13/8,237.50
  6. Step 6: Final answer
    x = 4,565.07

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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.