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Finding the Fourth Proportional to 10,223.90, 15,326.74 and 3,648.63

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Solution

The fourth proportional to 10,223.90, 15,326.74 and 3,648.63 is: 5,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.90 : 15,326.74 = 3,648.63 : x
  2. Step 2: Convert to fraction form
    10,223.90/15,326.74 = 3,648.63/x
  3. Step 3: Cross multiply
    10,223.90x = 15,326.74 × 3,648.63
  4. Step 4: Simplify right side
    10,223.90x = 55,921,594.24
  5. Step 5: Solve for x
    x = 55,921,594.24/10,223.90
  6. Step 6: Final answer
    x = 5,469.69

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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.