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Finding the Fourth Proportional to 11,415.31, 17,114.65 and 7,708.34

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Solution

The fourth proportional to 11,415.31, 17,114.65 and 7,708.34 is: 11,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.31 : 17,114.65 = 7,708.34 : x
  2. Step 2: Convert to fraction form
    11,415.31/17,114.65 = 7,708.34/x
  3. Step 3: Cross multiply
    11,415.31x = 17,114.65 × 7,708.34
  4. Step 4: Simplify right side
    11,415.31x = 131,925,541.18
  5. Step 5: Solve for x
    x = 131,925,541.18/11,415.31
  6. Step 6: Final answer
    x = 11,556.90

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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.