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Finding the Fourth Proportional to 8,322.36, 11,483.91 and 4,786.71

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Solution

The fourth proportional to 8,322.36, 11,483.91 and 4,786.71 is: 6,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.36 : 11,483.91 = 4,786.71 : x
  2. Step 2: Convert to fraction form
    8,322.36/11,483.91 = 4,786.71/x
  3. Step 3: Cross multiply
    8,322.36x = 11,483.91 × 4,786.71
  4. Step 4: Simplify right side
    8,322.36x = 54,970,146.84
  5. Step 5: Solve for x
    x = 54,970,146.84/8,322.36
  6. Step 6: Final answer
    x = 6,605.12

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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.