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Finding the Fourth Proportional to 8,242.84, 11,381.63 and 7,613.11

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Solution

The fourth proportional to 8,242.84, 11,381.63 and 7,613.11 is: 10,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.84 : 11,381.63 = 7,613.11 : x
  2. Step 2: Convert to fraction form
    8,242.84/11,381.63 = 7,613.11/x
  3. Step 3: Cross multiply
    8,242.84x = 11,381.63 × 7,613.11
  4. Step 4: Simplify right side
    8,242.84x = 86,649,601.17
  5. Step 5: Solve for x
    x = 86,649,601.17/8,242.84
  6. Step 6: Final answer
    x = 10,512.11

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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.