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Finding the Fourth Proportional to 11,206.51, 16,804.90 and 3,808.98

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Solution

The fourth proportional to 11,206.51, 16,804.90 and 3,808.98 is: 5,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.51 : 16,804.90 = 3,808.98 : x
  2. Step 2: Convert to fraction form
    11,206.51/16,804.90 = 3,808.98/x
  3. Step 3: Cross multiply
    11,206.51x = 16,804.90 × 3,808.98
  4. Step 4: Simplify right side
    11,206.51x = 64,009,528.00
  5. Step 5: Solve for x
    x = 64,009,528.00/11,206.51
  6. Step 6: Final answer
    x = 5,711.82

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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.