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Finding the Fourth Proportional to 7,838.50, 11,753.10 and 5,207.42

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Solution

The fourth proportional to 7,838.50, 11,753.10 and 5,207.42 is: 7,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.50 : 11,753.10 = 5,207.42 : x
  2. Step 2: Convert to fraction form
    7,838.50/11,753.10 = 5,207.42/x
  3. Step 3: Cross multiply
    7,838.50x = 11,753.10 × 5,207.42
  4. Step 4: Simplify right side
    7,838.50x = 61,203,269.24
  5. Step 5: Solve for x
    x = 61,203,269.24/7,838.50
  6. Step 6: Final answer
    x = 7,808.04

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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.