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Finding the Fourth Proportional to 10,469.61, 15,698.34 and 4,224.51

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Solution

The fourth proportional to 10,469.61, 15,698.34 and 4,224.51 is: 6,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.61 : 15,698.34 = 4,224.51 : x
  2. Step 2: Convert to fraction form
    10,469.61/15,698.34 = 4,224.51/x
  3. Step 3: Cross multiply
    10,469.61x = 15,698.34 × 4,224.51
  4. Step 4: Simplify right side
    10,469.61x = 66,317,794.31
  5. Step 5: Solve for x
    x = 66,317,794.31/10,469.61
  6. Step 6: Final answer
    x = 6,334.31

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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.