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Finding the Fourth Proportional to 8,876.82, 13,311.54 and 3,033.84

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Solution

The fourth proportional to 8,876.82, 13,311.54 and 3,033.84 is: 4,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,876.82 : 13,311.54 = 3,033.84 : x
  2. Step 2: Convert to fraction form
    8,876.82/13,311.54 = 3,033.84/x
  3. Step 3: Cross multiply
    8,876.82x = 13,311.54 × 3,033.84
  4. Step 4: Simplify right side
    8,876.82x = 40,385,082.51
  5. Step 5: Solve for x
    x = 40,385,082.51/8,876.82
  6. Step 6: Final answer
    x = 4,549.50

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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.