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Finding the Fourth Proportional to 12,394.88, 18,596.96 and 7,468

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Solution

The fourth proportional to 12,394.88, 18,596.96 and 7,468 is: 11,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.88 : 18,596.96 = 7,468 : x
  2. Step 2: Convert to fraction form
    12,394.88/18,596.96 = 7,468/x
  3. Step 3: Cross multiply
    12,394.88x = 18,596.96 × 7,468
  4. Step 4: Simplify right side
    12,394.88x = 138,882,097.28
  5. Step 5: Solve for x
    x = 138,882,097.28/12,394.88
  6. Step 6: Final answer
    x = 11,204.80

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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.