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Finding the Fourth Proportional to 11,211.83, 15,456.16 and 7,844.21

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Solution

The fourth proportional to 11,211.83, 15,456.16 and 7,844.21 is: 10,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.83 : 15,456.16 = 7,844.21 : x
  2. Step 2: Convert to fraction form
    11,211.83/15,456.16 = 7,844.21/x
  3. Step 3: Cross multiply
    11,211.83x = 15,456.16 × 7,844.21
  4. Step 4: Simplify right side
    11,211.83x = 121,241,364.83
  5. Step 5: Solve for x
    x = 121,241,364.83/11,211.83
  6. Step 6: Final answer
    x = 10,813.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.