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Finding the Fourth Proportional to 10,678.92, 16,018.34 and 2,887.71

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Solution

The fourth proportional to 10,678.92, 16,018.34 and 2,887.71 is: 4,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.92 : 16,018.34 = 2,887.71 : x
  2. Step 2: Convert to fraction form
    10,678.92/16,018.34 = 2,887.71/x
  3. Step 3: Cross multiply
    10,678.92x = 16,018.34 × 2,887.71
  4. Step 4: Simplify right side
    10,678.92x = 46,256,306.16
  5. Step 5: Solve for x
    x = 46,256,306.16/10,678.92
  6. Step 6: Final answer
    x = 4,331.55

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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.