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Finding the Fourth Proportional to 10,149.84, 15,223.91 and 3,485.79

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Solution

The fourth proportional to 10,149.84, 15,223.91 and 3,485.79 is: 5,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.84 : 15,223.91 = 3,485.79 : x
  2. Step 2: Convert to fraction form
    10,149.84/15,223.91 = 3,485.79/x
  3. Step 3: Cross multiply
    10,149.84x = 15,223.91 × 3,485.79
  4. Step 4: Simplify right side
    10,149.84x = 53,067,335.81
  5. Step 5: Solve for x
    x = 53,067,335.81/10,149.84
  6. Step 6: Final answer
    x = 5,228.39

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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.