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Finding the Fourth Proportional to 8,141.08, 12,164 and 6,023.68

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Solution

The fourth proportional to 8,141.08, 12,164 and 6,023.68 is: 9,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.08 : 12,164 = 6,023.68 : x
  2. Step 2: Convert to fraction form
    8,141.08/12,164 = 6,023.68/x
  3. Step 3: Cross multiply
    8,141.08x = 12,164 × 6,023.68
  4. Step 4: Simplify right side
    8,141.08x = 73,272,043.52
  5. Step 5: Solve for x
    x = 73,272,043.52/8,141.08
  6. Step 6: Final answer
    x = 9,000.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.