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Finding the Fourth Proportional to 10,469.35, 15,699.77 and 5,202.48

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Solution

The fourth proportional to 10,469.35, 15,699.77 and 5,202.48 is: 7,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.35 : 15,699.77 = 5,202.48 : x
  2. Step 2: Convert to fraction form
    10,469.35/15,699.77 = 5,202.48/x
  3. Step 3: Cross multiply
    10,469.35x = 15,699.77 × 5,202.48
  4. Step 4: Simplify right side
    10,469.35x = 81,677,732.75
  5. Step 5: Solve for x
    x = 81,677,732.75/10,469.35
  6. Step 6: Final answer
    x = 7,801.60

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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.