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Finding the Fourth Proportional to 8,930.72, 12,324.54 and 4,952

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Solution

The fourth proportional to 8,930.72, 12,324.54 and 4,952 is: 6,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.72 : 12,324.54 = 4,952 : x
  2. Step 2: Convert to fraction form
    8,930.72/12,324.54 = 4,952/x
  3. Step 3: Cross multiply
    8,930.72x = 12,324.54 × 4,952
  4. Step 4: Simplify right side
    8,930.72x = 61,031,122.08
  5. Step 5: Solve for x
    x = 61,031,122.08/8,930.72
  6. Step 6: Final answer
    x = 6,833.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.