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Finding the Fourth Proportional to 11,210, 16,821.48 and 5,054

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Solution

The fourth proportional to 11,210, 16,821.48 and 5,054 is: 7,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210 : 16,821.48 = 5,054 : x
  2. Step 2: Convert to fraction form
    11,210/16,821.48 = 5,054/x
  3. Step 3: Cross multiply
    11,210x = 16,821.48 × 5,054
  4. Step 4: Simplify right side
    11,210x = 85,015,759.92
  5. Step 5: Solve for x
    x = 85,015,759.92/11,210
  6. Step 6: Final answer
    x = 7,583.92

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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.