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Finding the Fourth Proportional to 8,167.63, 11,277.67 and 6,276.23

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Solution

The fourth proportional to 8,167.63, 11,277.67 and 6,276.23 is: 8,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.63 : 11,277.67 = 6,276.23 : x
  2. Step 2: Convert to fraction form
    8,167.63/11,277.67 = 6,276.23/x
  3. Step 3: Cross multiply
    8,167.63x = 11,277.67 × 6,276.23
  4. Step 4: Simplify right side
    8,167.63x = 70,781,194.40
  5. Step 5: Solve for x
    x = 70,781,194.40/8,167.63
  6. Step 6: Final answer
    x = 8,666.07

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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.