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Finding the Fourth Proportional to 8,011.88, 12,011.24 and 5,203.61

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Solution

The fourth proportional to 8,011.88, 12,011.24 and 5,203.61 is: 7,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.88 : 12,011.24 = 5,203.61 : x
  2. Step 2: Convert to fraction form
    8,011.88/12,011.24 = 5,203.61/x
  3. Step 3: Cross multiply
    8,011.88x = 12,011.24 × 5,203.61
  4. Step 4: Simplify right side
    8,011.88x = 62,501,851.61
  5. Step 5: Solve for x
    x = 62,501,851.61/8,011.88
  6. Step 6: Final answer
    x = 7,801.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.