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Finding the Fourth Proportional to 8,011.84, 12,010.32 and 3,567.20

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Solution

The fourth proportional to 8,011.84, 12,010.32 and 3,567.20 is: 5,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.84 : 12,010.32 = 3,567.20 : x
  2. Step 2: Convert to fraction form
    8,011.84/12,010.32 = 3,567.20/x
  3. Step 3: Cross multiply
    8,011.84x = 12,010.32 × 3,567.20
  4. Step 4: Simplify right side
    8,011.84x = 42,843,213.50
  5. Step 5: Solve for x
    x = 42,843,213.50/8,011.84
  6. Step 6: Final answer
    x = 5,347.49

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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.