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Finding the Fourth Proportional to 10,645.62, 15,970.74 and 3,249.87

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Solution

The fourth proportional to 10,645.62, 15,970.74 and 3,249.87 is: 4,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.62 : 15,970.74 = 3,249.87 : x
  2. Step 2: Convert to fraction form
    10,645.62/15,970.74 = 3,249.87/x
  3. Step 3: Cross multiply
    10,645.62x = 15,970.74 × 3,249.87
  4. Step 4: Simplify right side
    10,645.62x = 51,902,828.80
  5. Step 5: Solve for x
    x = 51,902,828.80/10,645.62
  6. Step 6: Final answer
    x = 4,875.51

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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.