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Finding the Fourth Proportional to 8,261.68, 11,401.14 and 4,724.98

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Solution

The fourth proportional to 8,261.68, 11,401.14 and 4,724.98 is: 6,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.68 : 11,401.14 = 4,724.98 : x
  2. Step 2: Convert to fraction form
    8,261.68/11,401.14 = 4,724.98/x
  3. Step 3: Cross multiply
    8,261.68x = 11,401.14 × 4,724.98
  4. Step 4: Simplify right side
    8,261.68x = 53,870,158.48
  5. Step 5: Solve for x
    x = 53,870,158.48/8,261.68
  6. Step 6: Final answer
    x = 6,520.48

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