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Finding the Fourth Proportional to 8,309.78, 11,467.51 and 4,724.76

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Solution

The fourth proportional to 8,309.78, 11,467.51 and 4,724.76 is: 6,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.78 : 11,467.51 = 4,724.76 : x
  2. Step 2: Convert to fraction form
    8,309.78/11,467.51 = 4,724.76/x
  3. Step 3: Cross multiply
    8,309.78x = 11,467.51 × 4,724.76
  4. Step 4: Simplify right side
    8,309.78x = 54,181,232.55
  5. Step 5: Solve for x
    x = 54,181,232.55/8,309.78
  6. Step 6: Final answer
    x = 6,520.18

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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.