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Finding the Fourth Proportional to 8,061.84, 11,131.56 and 6,497.28

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Solution

The fourth proportional to 8,061.84, 11,131.56 and 6,497.28 is: 8,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061.84 : 11,131.56 = 6,497.28 : x
  2. Step 2: Convert to fraction form
    8,061.84/11,131.56 = 6,497.28/x
  3. Step 3: Cross multiply
    8,061.84x = 11,131.56 × 6,497.28
  4. Step 4: Simplify right side
    8,061.84x = 72,324,862.16
  5. Step 5: Solve for x
    x = 72,324,862.16/8,061.84
  6. Step 6: Final answer
    x = 8,971.26

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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.