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Finding the Fourth Proportional to 8,203.71, 11,320.88 and 4,667.43

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Solution

The fourth proportional to 8,203.71, 11,320.88 and 4,667.43 is: 6,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.71 : 11,320.88 = 4,667.43 : x
  2. Step 2: Convert to fraction form
    8,203.71/11,320.88 = 4,667.43/x
  3. Step 3: Cross multiply
    8,203.71x = 11,320.88 × 4,667.43
  4. Step 4: Simplify right side
    8,203.71x = 52,839,391.60
  5. Step 5: Solve for x
    x = 52,839,391.60/8,203.71
  6. Step 6: Final answer
    x = 6,440.91

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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.