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Finding the Fourth Proportional to 8,382.06, 11,564.91 and 4,797

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Solution

The fourth proportional to 8,382.06, 11,564.91 and 4,797 is: 6,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.06 : 11,564.91 = 4,797 : x
  2. Step 2: Convert to fraction form
    8,382.06/11,564.91 = 4,797/x
  3. Step 3: Cross multiply
    8,382.06x = 11,564.91 × 4,797
  4. Step 4: Simplify right side
    8,382.06x = 55,476,873.27
  5. Step 5: Solve for x
    x = 55,476,873.27/8,382.06
  6. Step 6: Final answer
    x = 6,618.52

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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.