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Finding the Fourth Proportional to 10,990.84, 15,170.12 and 6,277.86

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Solution

The fourth proportional to 10,990.84, 15,170.12 and 6,277.86 is: 8,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.84 : 15,170.12 = 6,277.86 : x
  2. Step 2: Convert to fraction form
    10,990.84/15,170.12 = 6,277.86/x
  3. Step 3: Cross multiply
    10,990.84x = 15,170.12 × 6,277.86
  4. Step 4: Simplify right side
    10,990.84x = 95,235,889.54
  5. Step 5: Solve for x
    x = 95,235,889.54/10,990.84
  6. Step 6: Final answer
    x = 8,665.02

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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.