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Finding the Fourth Proportional to 12,796, 17,658.48 and 7,490.56

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Solution

The fourth proportional to 12,796, 17,658.48 and 7,490.56 is: 10,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796 : 17,658.48 = 7,490.56 : x
  2. Step 2: Convert to fraction form
    12,796/17,658.48 = 7,490.56/x
  3. Step 3: Cross multiply
    12,796x = 17,658.48 × 7,490.56
  4. Step 4: Simplify right side
    12,796x = 132,271,903.95
  5. Step 5: Solve for x
    x = 132,271,903.95/12,796
  6. Step 6: Final answer
    x = 10,336.97

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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.