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Finding the Fourth Proportional to 10,468.29, 15,704.36 and 3,448.70

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Solution

The fourth proportional to 10,468.29, 15,704.36 and 3,448.70 is: 5,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.29 : 15,704.36 = 3,448.70 : x
  2. Step 2: Convert to fraction form
    10,468.29/15,704.36 = 3,448.70/x
  3. Step 3: Cross multiply
    10,468.29x = 15,704.36 × 3,448.70
  4. Step 4: Simplify right side
    10,468.29x = 54,159,530.57
  5. Step 5: Solve for x
    x = 54,159,530.57/10,468.29
  6. Step 6: Final answer
    x = 5,173.68

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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.