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Finding the Fourth Proportional to 7,706.18, 11,549.14 and 4,197.66

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Solution

The fourth proportional to 7,706.18, 11,549.14 and 4,197.66 is: 6,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.18 : 11,549.14 = 4,197.66 : x
  2. Step 2: Convert to fraction form
    7,706.18/11,549.14 = 4,197.66/x
  3. Step 3: Cross multiply
    7,706.18x = 11,549.14 × 4,197.66
  4. Step 4: Simplify right side
    7,706.18x = 48,479,363.01
  5. Step 5: Solve for x
    x = 48,479,363.01/7,706.18
  6. Step 6: Final answer
    x = 6,290.97

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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.