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Finding the Fourth Proportional to 11,664, 16,095.78 and 6,358.77

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Solution

The fourth proportional to 11,664, 16,095.78 and 6,358.77 is: 8,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 16,095.78 = 6,358.77 : x
  2. Step 2: Convert to fraction form
    11,664/16,095.78 = 6,358.77/x
  3. Step 3: Cross multiply
    11,664x = 16,095.78 × 6,358.77
  4. Step 4: Simplify right side
    11,664x = 102,349,362.99
  5. Step 5: Solve for x
    x = 102,349,362.99/11,664
  6. Step 6: Final answer
    x = 8,774.81

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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.