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Finding the Fourth Proportional to 11,253.82, 15,530.88 and 6,778.96

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Solution

The fourth proportional to 11,253.82, 15,530.88 and 6,778.96 is: 9,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.82 : 15,530.88 = 6,778.96 : x
  2. Step 2: Convert to fraction form
    11,253.82/15,530.88 = 6,778.96/x
  3. Step 3: Cross multiply
    11,253.82x = 15,530.88 × 6,778.96
  4. Step 4: Simplify right side
    11,253.82x = 105,283,214.28
  5. Step 5: Solve for x
    x = 105,283,214.28/11,253.82
  6. Step 6: Final answer
    x = 9,355.33

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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.