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Finding the Fourth Proportional to 10,006.84, 15,007.98 and 3,767.52

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Solution

The fourth proportional to 10,006.84, 15,007.98 and 3,767.52 is: 5,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.84 : 15,007.98 = 3,767.52 : x
  2. Step 2: Convert to fraction form
    10,006.84/15,007.98 = 3,767.52/x
  3. Step 3: Cross multiply
    10,006.84x = 15,007.98 × 3,767.52
  4. Step 4: Simplify right side
    10,006.84x = 56,542,864.81
  5. Step 5: Solve for x
    x = 56,542,864.81/10,006.84
  6. Step 6: Final answer
    x = 5,650.42

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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.