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Finding the Fourth Proportional to 10,848.09, 16,293.99 and 6,474.09

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Solution

The fourth proportional to 10,848.09, 16,293.99 and 6,474.09 is: 9,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.09 : 16,293.99 = 6,474.09 : x
  2. Step 2: Convert to fraction form
    10,848.09/16,293.99 = 6,474.09/x
  3. Step 3: Cross multiply
    10,848.09x = 16,293.99 × 6,474.09
  4. Step 4: Simplify right side
    10,848.09x = 105,488,757.72
  5. Step 5: Solve for x
    x = 105,488,757.72/10,848.09
  6. Step 6: Final answer
    x = 9,724.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.