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Finding the Fourth Proportional to 10,665, 15,997.32 and 8,798.76

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Solution

The fourth proportional to 10,665, 15,997.32 and 8,798.76 is: 13,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665 : 15,997.32 = 8,798.76 : x
  2. Step 2: Convert to fraction form
    10,665/15,997.32 = 8,798.76/x
  3. Step 3: Cross multiply
    10,665x = 15,997.32 × 8,798.76
  4. Step 4: Simplify right side
    10,665x = 140,756,579.32
  5. Step 5: Solve for x
    x = 140,756,579.32/10,665
  6. Step 6: Final answer
    x = 13,197.99

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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.