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Finding the Fourth Proportional to 8,724.76, 12,040.20 and 4,745.92

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Solution

The fourth proportional to 8,724.76, 12,040.20 and 4,745.92 is: 6,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.76 : 12,040.20 = 4,745.92 : x
  2. Step 2: Convert to fraction form
    8,724.76/12,040.20 = 4,745.92/x
  3. Step 3: Cross multiply
    8,724.76x = 12,040.20 × 4,745.92
  4. Step 4: Simplify right side
    8,724.76x = 57,141,825.98
  5. Step 5: Solve for x
    x = 57,141,825.98/8,724.76
  6. Step 6: Final answer
    x = 6,549.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.