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Finding the Fourth Proportional to 11,308.14, 15,604.65 and 7,771.68

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Solution

The fourth proportional to 11,308.14, 15,604.65 and 7,771.68 is: 10,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.14 : 15,604.65 = 7,771.68 : x
  2. Step 2: Convert to fraction form
    11,308.14/15,604.65 = 7,771.68/x
  3. Step 3: Cross multiply
    11,308.14x = 15,604.65 × 7,771.68
  4. Step 4: Simplify right side
    11,308.14x = 121,274,346.31
  5. Step 5: Solve for x
    x = 121,274,346.31/11,308.14
  6. Step 6: Final answer
    x = 10,724.52

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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.