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Finding the Fourth Proportional to 10,906.02, 16,356.78 and 3,113.10

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Solution

The fourth proportional to 10,906.02, 16,356.78 and 3,113.10 is: 4,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.02 : 16,356.78 = 3,113.10 : x
  2. Step 2: Convert to fraction form
    10,906.02/16,356.78 = 3,113.10/x
  3. Step 3: Cross multiply
    10,906.02x = 16,356.78 × 3,113.10
  4. Step 4: Simplify right side
    10,906.02x = 50,920,291.82
  5. Step 5: Solve for x
    x = 50,920,291.82/10,906.02
  6. Step 6: Final answer
    x = 4,669.01

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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.