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Finding the Fourth Proportional to 10,006.50, 15,005.04 and 5,847.71

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Solution

The fourth proportional to 10,006.50, 15,005.04 and 5,847.71 is: 8,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.50 : 15,005.04 = 5,847.71 : x
  2. Step 2: Convert to fraction form
    10,006.50/15,005.04 = 5,847.71/x
  3. Step 3: Cross multiply
    10,006.50x = 15,005.04 × 5,847.71
  4. Step 4: Simplify right side
    10,006.50x = 87,745,018.19
  5. Step 5: Solve for x
    x = 87,745,018.19/10,006.50
  6. Step 6: Final answer
    x = 8,768.80

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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.