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Finding the Fourth Proportional to 10,600.47, 15,900.91 and 3,204.46

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Solution

The fourth proportional to 10,600.47, 15,900.91 and 3,204.46 is: 4,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.47 : 15,900.91 = 3,204.46 : x
  2. Step 2: Convert to fraction form
    10,600.47/15,900.91 = 3,204.46/x
  3. Step 3: Cross multiply
    10,600.47x = 15,900.91 × 3,204.46
  4. Step 4: Simplify right side
    10,600.47x = 50,953,841.92
  5. Step 5: Solve for x
    x = 50,953,841.92/10,600.47
  6. Step 6: Final answer
    x = 4,806.75

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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.