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Finding the Fourth Proportional to 11,497.24, 15,864.78 and 6,461.56

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Solution

The fourth proportional to 11,497.24, 15,864.78 and 6,461.56 is: 8,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.24 : 15,864.78 = 6,461.56 : x
  2. Step 2: Convert to fraction form
    11,497.24/15,864.78 = 6,461.56/x
  3. Step 3: Cross multiply
    11,497.24x = 15,864.78 × 6,461.56
  4. Step 4: Simplify right side
    11,497.24x = 102,511,227.86
  5. Step 5: Solve for x
    x = 102,511,227.86/11,497.24
  6. Step 6: Final answer
    x = 8,916.16

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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.