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Finding the Fourth Proportional to 11,009.62, 15,193.27 and 6,294

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Solution

The fourth proportional to 11,009.62, 15,193.27 and 6,294 is: 8,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.62 : 15,193.27 = 6,294 : x
  2. Step 2: Convert to fraction form
    11,009.62/15,193.27 = 6,294/x
  3. Step 3: Cross multiply
    11,009.62x = 15,193.27 × 6,294
  4. Step 4: Simplify right side
    11,009.62x = 95,626,409.91
  5. Step 5: Solve for x
    x = 95,626,409.91/11,009.62
  6. Step 6: Final answer
    x = 8,685.72

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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.