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Finding the Fourth Proportional to 8,402.02, 11,600.16 and 5,218.66

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Solution

The fourth proportional to 8,402.02, 11,600.16 and 5,218.66 is: 7,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.02 : 11,600.16 = 5,218.66 : x
  2. Step 2: Convert to fraction form
    8,402.02/11,600.16 = 5,218.66/x
  3. Step 3: Cross multiply
    8,402.02x = 11,600.16 × 5,218.66
  4. Step 4: Simplify right side
    8,402.02x = 60,537,290.99
  5. Step 5: Solve for x
    x = 60,537,290.99/8,402.02
  6. Step 6: Final answer
    x = 7,205.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.