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Finding the Fourth Proportional to 10,274.43, 15,411.64 and 2,879.98

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Solution

The fourth proportional to 10,274.43, 15,411.64 and 2,879.98 is: 4,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.43 : 15,411.64 = 2,879.98 : x
  2. Step 2: Convert to fraction form
    10,274.43/15,411.64 = 2,879.98/x
  3. Step 3: Cross multiply
    10,274.43x = 15,411.64 × 2,879.98
  4. Step 4: Simplify right side
    10,274.43x = 44,385,214.97
  5. Step 5: Solve for x
    x = 44,385,214.97/10,274.43
  6. Step 6: Final answer
    x = 4,319.97

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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.