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Finding the Fourth Proportional to 11,415.30, 17,114.66 and 7,708.34

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Solution

The fourth proportional to 11,415.30, 17,114.66 and 7,708.34 is: 11,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.30 : 17,114.66 = 7,708.34 : x
  2. Step 2: Convert to fraction form
    11,415.30/17,114.66 = 7,708.34/x
  3. Step 3: Cross multiply
    11,415.30x = 17,114.66 × 7,708.34
  4. Step 4: Simplify right side
    11,415.30x = 131,925,618.26
  5. Step 5: Solve for x
    x = 131,925,618.26/11,415.30
  6. Step 6: Final answer
    x = 11,556.91

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