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Finding the Fourth Proportional to 11,664.17, 16,096.51 and 6,358.99

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Solution

The fourth proportional to 11,664.17, 16,096.51 and 6,358.99 is: 8,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.17 : 16,096.51 = 6,358.99 : x
  2. Step 2: Convert to fraction form
    11,664.17/16,096.51 = 6,358.99/x
  3. Step 3: Cross multiply
    11,664.17x = 16,096.51 × 6,358.99
  4. Step 4: Simplify right side
    11,664.17x = 102,357,508.24
  5. Step 5: Solve for x
    x = 102,357,508.24/11,664.17
  6. Step 6: Final answer
    x = 8,775.38

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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.