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Finding the Fourth Proportional to 11,294.34, 15,586.74 and 6,818.28

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Solution

The fourth proportional to 11,294.34, 15,586.74 and 6,818.28 is: 9,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.34 : 15,586.74 = 6,818.28 : x
  2. Step 2: Convert to fraction form
    11,294.34/15,586.74 = 6,818.28/x
  3. Step 3: Cross multiply
    11,294.34x = 15,586.74 × 6,818.28
  4. Step 4: Simplify right side
    11,294.34x = 106,274,757.61
  5. Step 5: Solve for x
    x = 106,274,757.61/11,294.34
  6. Step 6: Final answer
    x = 9,409.56

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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.