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Finding the Fourth Proportional to 11,664, 16,095.86 and 6,628.89

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Solution

The fourth proportional to 11,664, 16,095.86 and 6,628.89 is: 9,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 16,095.86 = 6,628.89 : x
  2. Step 2: Convert to fraction form
    11,664/16,095.86 = 6,628.89/x
  3. Step 3: Cross multiply
    11,664x = 16,095.86 × 6,628.89
  4. Step 4: Simplify right side
    11,664x = 106,697,684.22
  5. Step 5: Solve for x
    x = 106,697,684.22/11,664
  6. Step 6: Final answer
    x = 9,147.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.