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Finding the Fourth Proportional to 11,294.97, 15,586.82 and 6,259.17

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Solution

The fourth proportional to 11,294.97, 15,586.82 and 6,259.17 is: 8,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.97 : 15,586.82 = 6,259.17 : x
  2. Step 2: Convert to fraction form
    11,294.97/15,586.82 = 6,259.17/x
  3. Step 3: Cross multiply
    11,294.97x = 15,586.82 × 6,259.17
  4. Step 4: Simplify right side
    11,294.97x = 97,560,524.84
  5. Step 5: Solve for x
    x = 97,560,524.84/11,294.97
  6. Step 6: Final answer
    x = 8,637.52

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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.