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Finding the Fourth Proportional to 8,830.70, 13,237.82 and 2,983.22

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Solution

The fourth proportional to 8,830.70, 13,237.82 and 2,983.22 is: 4,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.70 : 13,237.82 = 2,983.22 : x
  2. Step 2: Convert to fraction form
    8,830.70/13,237.82 = 2,983.22/x
  3. Step 3: Cross multiply
    8,830.70x = 13,237.82 × 2,983.22
  4. Step 4: Simplify right side
    8,830.70x = 39,491,314.46
  5. Step 5: Solve for x
    x = 39,491,314.46/8,830.70
  6. Step 6: Final answer
    x = 4,472.05

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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.