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Finding the Fourth Proportional to 10,997.88, 15,176.70 and 6,282.06

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Solution

The fourth proportional to 10,997.88, 15,176.70 and 6,282.06 is: 8,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.88 : 15,176.70 = 6,282.06 : x
  2. Step 2: Convert to fraction form
    10,997.88/15,176.70 = 6,282.06/x
  3. Step 3: Cross multiply
    10,997.88x = 15,176.70 × 6,282.06
  4. Step 4: Simplify right side
    10,997.88x = 95,340,940.00
  5. Step 5: Solve for x
    x = 95,340,940.00/10,997.88
  6. Step 6: Final answer
    x = 8,669.03

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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.