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Finding the Fourth Proportional to 7,706.31, 11,559.33 and 2,159.57

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Solution

The fourth proportional to 7,706.31, 11,559.33 and 2,159.57 is: 3,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.31 : 11,559.33 = 2,159.57 : x
  2. Step 2: Convert to fraction form
    7,706.31/11,559.33 = 2,159.57/x
  3. Step 3: Cross multiply
    7,706.31x = 11,559.33 × 2,159.57
  4. Step 4: Simplify right side
    7,706.31x = 24,963,124.49
  5. Step 5: Solve for x
    x = 24,963,124.49/7,706.31
  6. Step 6: Final answer
    x = 3,239.31

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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.