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Finding the Fourth Proportional to 10,038.33, 15,064.79 and 5,664.33

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Solution

The fourth proportional to 10,038.33, 15,064.79 and 5,664.33 is: 8,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.33 : 15,064.79 = 5,664.33 : x
  2. Step 2: Convert to fraction form
    10,038.33/15,064.79 = 5,664.33/x
  3. Step 3: Cross multiply
    10,038.33x = 15,064.79 × 5,664.33
  4. Step 4: Simplify right side
    10,038.33x = 85,331,913.62
  5. Step 5: Solve for x
    x = 85,331,913.62/10,038.33
  6. Step 6: Final answer
    x = 8,500.61

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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.