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Finding the Fourth Proportional to 10,010.02, 15,002.73 and 5,618.26

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Solution

The fourth proportional to 10,010.02, 15,002.73 and 5,618.26 is: 8,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.02 : 15,002.73 = 5,618.26 : x
  2. Step 2: Convert to fraction form
    10,010.02/15,002.73 = 5,618.26/x
  3. Step 3: Cross multiply
    10,010.02x = 15,002.73 × 5,618.26
  4. Step 4: Simplify right side
    10,010.02x = 84,289,237.85
  5. Step 5: Solve for x
    x = 84,289,237.85/10,010.02
  6. Step 6: Final answer
    x = 8,420.49

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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.