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Finding the Fourth Proportional to 11,098.83, 16,648.08 and 2,778.81

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Solution

The fourth proportional to 11,098.83, 16,648.08 and 2,778.81 is: 4,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.83 : 16,648.08 = 2,778.81 : x
  2. Step 2: Convert to fraction form
    11,098.83/16,648.08 = 2,778.81/x
  3. Step 3: Cross multiply
    11,098.83x = 16,648.08 × 2,778.81
  4. Step 4: Simplify right side
    11,098.83x = 46,261,851.18
  5. Step 5: Solve for x
    x = 46,261,851.18/11,098.83
  6. Step 6: Final answer
    x = 4,168.17

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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.