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Finding the Fourth Proportional to 11,530.62, 15,906.04 and 7,708.84

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Solution

The fourth proportional to 11,530.62, 15,906.04 and 7,708.84 is: 10,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.62 : 15,906.04 = 7,708.84 : x
  2. Step 2: Convert to fraction form
    11,530.62/15,906.04 = 7,708.84/x
  3. Step 3: Cross multiply
    11,530.62x = 15,906.04 × 7,708.84
  4. Step 4: Simplify right side
    11,530.62x = 122,617,058.36
  5. Step 5: Solve for x
    x = 122,617,058.36/11,530.62
  6. Step 6: Final answer
    x = 10,634.04

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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.