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Finding the Fourth Proportional to 7,238.50, 10,851.59 and 6,894.05

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Solution

The fourth proportional to 7,238.50, 10,851.59 and 6,894.05 is: 10,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.50 : 10,851.59 = 6,894.05 : x
  2. Step 2: Convert to fraction form
    7,238.50/10,851.59 = 6,894.05/x
  3. Step 3: Cross multiply
    7,238.50x = 10,851.59 × 6,894.05
  4. Step 4: Simplify right side
    7,238.50x = 74,811,367.02
  5. Step 5: Solve for x
    x = 74,811,367.02/7,238.50
  6. Step 6: Final answer
    x = 10,335.21

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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.