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Finding the Fourth Proportional to 7,423.50, 11,137.18 and 3,264.33

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Solution

The fourth proportional to 7,423.50, 11,137.18 and 3,264.33 is: 4,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.50 : 11,137.18 = 3,264.33 : x
  2. Step 2: Convert to fraction form
    7,423.50/11,137.18 = 3,264.33/x
  3. Step 3: Cross multiply
    7,423.50x = 11,137.18 × 3,264.33
  4. Step 4: Simplify right side
    7,423.50x = 36,355,430.79
  5. Step 5: Solve for x
    x = 36,355,430.79/7,423.50
  6. Step 6: Final answer
    x = 4,897.34

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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.