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Finding the Fourth Proportional to 10,489.93, 15,732.49 and 2,993.35

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Solution

The fourth proportional to 10,489.93, 15,732.49 and 2,993.35 is: 4,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.93 : 15,732.49 = 2,993.35 : x
  2. Step 2: Convert to fraction form
    10,489.93/15,732.49 = 2,993.35/x
  3. Step 3: Cross multiply
    10,489.93x = 15,732.49 × 2,993.35
  4. Step 4: Simplify right side
    10,489.93x = 47,092,848.94
  5. Step 5: Solve for x
    x = 47,092,848.94/10,489.93
  6. Step 6: Final answer
    x = 4,489.34

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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.