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Finding the Fourth Proportional to 11,269.84, 15,552.28 and 6,234

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Solution

The fourth proportional to 11,269.84, 15,552.28 and 6,234 is: 8,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269.84 : 15,552.28 = 6,234 : x
  2. Step 2: Convert to fraction form
    11,269.84/15,552.28 = 6,234/x
  3. Step 3: Cross multiply
    11,269.84x = 15,552.28 × 6,234
  4. Step 4: Simplify right side
    11,269.84x = 96,952,921.31
  5. Step 5: Solve for x
    x = 96,952,921.31/11,269.84
  6. Step 6: Final answer
    x = 8,602.87

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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.