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Finding the Fourth Proportional to 10,820.66, 16,232.81 and 3,424.95

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Solution

The fourth proportional to 10,820.66, 16,232.81 and 3,424.95 is: 5,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.66 : 16,232.81 = 3,424.95 : x
  2. Step 2: Convert to fraction form
    10,820.66/16,232.81 = 3,424.95/x
  3. Step 3: Cross multiply
    10,820.66x = 16,232.81 × 3,424.95
  4. Step 4: Simplify right side
    10,820.66x = 55,596,545.48
  5. Step 5: Solve for x
    x = 55,596,545.48/10,820.66
  6. Step 6: Final answer
    x = 5,138.00

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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.