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Finding the Fourth Proportional to 8,149.16, 11,202.61 and 7,010.68

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Solution

The fourth proportional to 8,149.16, 11,202.61 and 7,010.68 is: 9,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.16 : 11,202.61 = 7,010.68 : x
  2. Step 2: Convert to fraction form
    8,149.16/11,202.61 = 7,010.68/x
  3. Step 3: Cross multiply
    8,149.16x = 11,202.61 × 7,010.68
  4. Step 4: Simplify right side
    8,149.16x = 78,537,822.81
  5. Step 5: Solve for x
    x = 78,537,822.81/8,149.16
  6. Step 6: Final answer
    x = 9,637.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.