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Finding the Fourth Proportional to 11,206.38, 16,810.38 and 3,415.17

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Solution

The fourth proportional to 11,206.38, 16,810.38 and 3,415.17 is: 5,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.38 : 16,810.38 = 3,415.17 : x
  2. Step 2: Convert to fraction form
    11,206.38/16,810.38 = 3,415.17/x
  3. Step 3: Cross multiply
    11,206.38x = 16,810.38 × 3,415.17
  4. Step 4: Simplify right side
    11,206.38x = 57,410,305.46
  5. Step 5: Solve for x
    x = 57,410,305.46/11,206.38
  6. Step 6: Final answer
    x = 5,123.00

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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.