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Finding the Fourth Proportional to 11,206.74, 16,810.10 and 3,415.55

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Solution

The fourth proportional to 11,206.74, 16,810.10 and 3,415.55 is: 5,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.74 : 16,810.10 = 3,415.55 : x
  2. Step 2: Convert to fraction form
    11,206.74/16,810.10 = 3,415.55/x
  3. Step 3: Cross multiply
    11,206.74x = 16,810.10 × 3,415.55
  4. Step 4: Simplify right side
    11,206.74x = 57,415,774.81
  5. Step 5: Solve for x
    x = 57,415,774.81/11,206.74
  6. Step 6: Final answer
    x = 5,123.33

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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.