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Finding the Fourth Proportional to 10,650.46, 15,976.46 and 4,322.30

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Solution

The fourth proportional to 10,650.46, 15,976.46 and 4,322.30 is: 6,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.46 : 15,976.46 = 4,322.30 : x
  2. Step 2: Convert to fraction form
    10,650.46/15,976.46 = 4,322.30/x
  3. Step 3: Cross multiply
    10,650.46x = 15,976.46 × 4,322.30
  4. Step 4: Simplify right side
    10,650.46x = 69,055,053.06
  5. Step 5: Solve for x
    x = 69,055,053.06/10,650.46
  6. Step 6: Final answer
    x = 6,483.76

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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.