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Finding the Fourth Proportional to 11,214.53, 16,805.93 and 6,219.11

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Solution

The fourth proportional to 11,214.53, 16,805.93 and 6,219.11 is: 9,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.53 : 16,805.93 = 6,219.11 : x
  2. Step 2: Convert to fraction form
    11,214.53/16,805.93 = 6,219.11/x
  3. Step 3: Cross multiply
    11,214.53x = 16,805.93 × 6,219.11
  4. Step 4: Simplify right side
    11,214.53x = 104,517,927.32
  5. Step 5: Solve for x
    x = 104,517,927.32/11,214.53
  6. Step 6: Final answer
    x = 9,319.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.