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Finding the Fourth Proportional to 7,351.95, 11,029.37 and 3,191.25

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Solution

The fourth proportional to 7,351.95, 11,029.37 and 3,191.25 is: 4,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.95 : 11,029.37 = 3,191.25 : x
  2. Step 2: Convert to fraction form
    7,351.95/11,029.37 = 3,191.25/x
  3. Step 3: Cross multiply
    7,351.95x = 11,029.37 × 3,191.25
  4. Step 4: Simplify right side
    7,351.95x = 35,197,461.06
  5. Step 5: Solve for x
    x = 35,197,461.06/7,351.95
  6. Step 6: Final answer
    x = 4,787.50

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Why These Related Problems?

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