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Finding the Fourth Proportional to 10,678.77, 16,007.43 and 3,653.97

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Solution

The fourth proportional to 10,678.77, 16,007.43 and 3,653.97 is: 5,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.77 : 16,007.43 = 3,653.97 : x
  2. Step 2: Convert to fraction form
    10,678.77/16,007.43 = 3,653.97/x
  3. Step 3: Cross multiply
    10,678.77x = 16,007.43 × 3,653.97
  4. Step 4: Simplify right side
    10,678.77x = 58,490,669.00
  5. Step 5: Solve for x
    x = 58,490,669.00/10,678.77
  6. Step 6: Final answer
    x = 5,477.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.