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Finding the Fourth Proportional to 8,038.98, 12,043.17 and 3,866.67

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Solution

The fourth proportional to 8,038.98, 12,043.17 and 3,866.67 is: 5,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.98 : 12,043.17 = 3,866.67 : x
  2. Step 2: Convert to fraction form
    8,038.98/12,043.17 = 3,866.67/x
  3. Step 3: Cross multiply
    8,038.98x = 12,043.17 × 3,866.67
  4. Step 4: Simplify right side
    8,038.98x = 46,566,964.14
  5. Step 5: Solve for x
    x = 46,566,964.14/8,038.98
  6. Step 6: Final answer
    x = 5,792.65

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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.