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Finding the Fourth Proportional to 8,506.98, 11,728.26 and 7,632.18

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Solution

The fourth proportional to 8,506.98, 11,728.26 and 7,632.18 is: 10,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.98 : 11,728.26 = 7,632.18 : x
  2. Step 2: Convert to fraction form
    8,506.98/11,728.26 = 7,632.18/x
  3. Step 3: Cross multiply
    8,506.98x = 11,728.26 × 7,632.18
  4. Step 4: Simplify right side
    8,506.98x = 89,512,191.41
  5. Step 5: Solve for x
    x = 89,512,191.41/8,506.98
  6. Step 6: Final answer
    x = 10,522.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.