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Finding the Fourth Proportional to 7,493.78, 11,233.80 and 4,712

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Solution

The fourth proportional to 7,493.78, 11,233.80 and 4,712 is: 7,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.78 : 11,233.80 = 4,712 : x
  2. Step 2: Convert to fraction form
    7,493.78/11,233.80 = 4,712/x
  3. Step 3: Cross multiply
    7,493.78x = 11,233.80 × 4,712
  4. Step 4: Simplify right side
    7,493.78x = 52,933,665.60
  5. Step 5: Solve for x
    x = 52,933,665.60/7,493.78
  6. Step 6: Final answer
    x = 7,063.68

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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.