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Finding the Fourth Proportional to 11,524.49, 15,905.30 and 6,489.69

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Solution

The fourth proportional to 11,524.49, 15,905.30 and 6,489.69 is: 8,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.49 : 15,905.30 = 6,489.69 : x
  2. Step 2: Convert to fraction form
    11,524.49/15,905.30 = 6,489.69/x
  3. Step 3: Cross multiply
    11,524.49x = 15,905.30 × 6,489.69
  4. Step 4: Simplify right side
    11,524.49x = 103,220,482.58
  5. Step 5: Solve for x
    x = 103,220,482.58/11,524.49
  6. Step 6: Final answer
    x = 8,956.62

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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.