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Finding the Fourth Proportional to 10,846.29, 16,267.01 and 3,055.71

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Solution

The fourth proportional to 10,846.29, 16,267.01 and 3,055.71 is: 4,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.29 : 16,267.01 = 3,055.71 : x
  2. Step 2: Convert to fraction form
    10,846.29/16,267.01 = 3,055.71/x
  3. Step 3: Cross multiply
    10,846.29x = 16,267.01 × 3,055.71
  4. Step 4: Simplify right side
    10,846.29x = 49,707,265.13
  5. Step 5: Solve for x
    x = 49,707,265.13/10,846.29
  6. Step 6: Final answer
    x = 4,582.88

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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.