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Finding the Fourth Proportional to 10,998.45, 16,497.71 and 2,678.47

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Solution

The fourth proportional to 10,998.45, 16,497.71 and 2,678.47 is: 4,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.45 : 16,497.71 = 2,678.47 : x
  2. Step 2: Convert to fraction form
    10,998.45/16,497.71 = 2,678.47/x
  3. Step 3: Cross multiply
    10,998.45x = 16,497.71 × 2,678.47
  4. Step 4: Simplify right side
    10,998.45x = 44,188,576.71
  5. Step 5: Solve for x
    x = 44,188,576.71/10,998.45
  6. Step 6: Final answer
    x = 4,017.71

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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.