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Finding the Fourth Proportional to 7,706.16, 11,559.42 and 3,549.65

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Solution

The fourth proportional to 7,706.16, 11,559.42 and 3,549.65 is: 5,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.16 : 11,559.42 = 3,549.65 : x
  2. Step 2: Convert to fraction form
    7,706.16/11,559.42 = 3,549.65/x
  3. Step 3: Cross multiply
    7,706.16x = 11,559.42 × 3,549.65
  4. Step 4: Simplify right side
    7,706.16x = 41,031,837.41
  5. Step 5: Solve for x
    x = 41,031,837.41/7,706.16
  6. Step 6: Final answer
    x = 5,324.55

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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.