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Finding the Fourth Proportional to 11,889.30, 17,823.92 and 7,497.08

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Solution

The fourth proportional to 11,889.30, 17,823.92 and 7,497.08 is: 11,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.30 : 17,823.92 = 7,497.08 : x
  2. Step 2: Convert to fraction form
    11,889.30/17,823.92 = 7,497.08/x
  3. Step 3: Cross multiply
    11,889.30x = 17,823.92 × 7,497.08
  4. Step 4: Simplify right side
    11,889.30x = 133,627,354.15
  5. Step 5: Solve for x
    x = 133,627,354.15/11,889.30
  6. Step 6: Final answer
    x = 11,239.30

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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.