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Finding the Fourth Proportional to 10,468.89, 15,705.63 and 3,448.62

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Solution

The fourth proportional to 10,468.89, 15,705.63 and 3,448.62 is: 5,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.89 : 15,705.63 = 3,448.62 : x
  2. Step 2: Convert to fraction form
    10,468.89/15,705.63 = 3,448.62/x
  3. Step 3: Cross multiply
    10,468.89x = 15,705.63 × 3,448.62
  4. Step 4: Simplify right side
    10,468.89x = 54,162,749.73
  5. Step 5: Solve for x
    x = 54,162,749.73/10,468.89
  6. Step 6: Final answer
    x = 5,173.69

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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.