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Finding the Fourth Proportional to 8,643.74, 11,929.22 and 5,661.21

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Solution

The fourth proportional to 8,643.74, 11,929.22 and 5,661.21 is: 7,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.74 : 11,929.22 = 5,661.21 : x
  2. Step 2: Convert to fraction form
    8,643.74/11,929.22 = 5,661.21/x
  3. Step 3: Cross multiply
    8,643.74x = 11,929.22 × 5,661.21
  4. Step 4: Simplify right side
    8,643.74x = 67,533,791.25
  5. Step 5: Solve for x
    x = 67,533,791.25/8,643.74
  6. Step 6: Final answer
    x = 7,813.03

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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.