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Finding the Fourth Proportional to 10,006.30, 14,996.58 and 8,464.48

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Solution

The fourth proportional to 10,006.30, 14,996.58 and 8,464.48 is: 12,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.30 : 14,996.58 = 8,464.48 : x
  2. Step 2: Convert to fraction form
    10,006.30/14,996.58 = 8,464.48/x
  3. Step 3: Cross multiply
    10,006.30x = 14,996.58 × 8,464.48
  4. Step 4: Simplify right side
    10,006.30x = 126,938,251.48
  5. Step 5: Solve for x
    x = 126,938,251.48/10,006.30
  6. Step 6: Final answer
    x = 12,685.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.