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Finding the Fourth Proportional to 7,706.16, 11,557.26 and 3,026.34

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Solution

The fourth proportional to 7,706.16, 11,557.26 and 3,026.34 is: 4,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.16 : 11,557.26 = 3,026.34 : x
  2. Step 2: Convert to fraction form
    7,706.16/11,557.26 = 3,026.34/x
  3. Step 3: Cross multiply
    7,706.16x = 11,557.26 × 3,026.34
  4. Step 4: Simplify right side
    7,706.16x = 34,976,198.23
  5. Step 5: Solve for x
    x = 34,976,198.23/7,706.16
  6. Step 6: Final answer
    x = 4,538.73

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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.