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Finding the Fourth Proportional to 6,893.47, 10,346.18 and 3,608.86

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Solution

The fourth proportional to 6,893.47, 10,346.18 and 3,608.86 is: 5,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.47 : 10,346.18 = 3,608.86 : x
  2. Step 2: Convert to fraction form
    6,893.47/10,346.18 = 3,608.86/x
  3. Step 3: Cross multiply
    6,893.47x = 10,346.18 × 3,608.86
  4. Step 4: Simplify right side
    6,893.47x = 37,337,897.11
  5. Step 5: Solve for x
    x = 37,337,897.11/6,893.47
  6. Step 6: Final answer
    x = 5,416.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.