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Finding the Fourth Proportional to 10,810.13, 16,216.07 and 3,415.01

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Solution

The fourth proportional to 10,810.13, 16,216.07 and 3,415.01 is: 5,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.13 : 16,216.07 = 3,415.01 : x
  2. Step 2: Convert to fraction form
    10,810.13/16,216.07 = 3,415.01/x
  3. Step 3: Cross multiply
    10,810.13x = 16,216.07 × 3,415.01
  4. Step 4: Simplify right side
    10,810.13x = 55,377,943.06
  5. Step 5: Solve for x
    x = 55,377,943.06/10,810.13
  6. Step 6: Final answer
    x = 5,122.78

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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.