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Finding the Fourth Proportional to 10,672.47, 16,006.86 and 2,879.46

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Solution

The fourth proportional to 10,672.47, 16,006.86 and 2,879.46 is: 4,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.47 : 16,006.86 = 2,879.46 : x
  2. Step 2: Convert to fraction form
    10,672.47/16,006.86 = 2,879.46/x
  3. Step 3: Cross multiply
    10,672.47x = 16,006.86 × 2,879.46
  4. Step 4: Simplify right side
    10,672.47x = 46,091,113.10
  5. Step 5: Solve for x
    x = 46,091,113.10/10,672.47
  6. Step 6: Final answer
    x = 4,318.69

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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.