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Finding the Fourth Proportional to 10,980.66, 15,149.63 and 6,199.94

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Solution

The fourth proportional to 10,980.66, 15,149.63 and 6,199.94 is: 8,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.66 : 15,149.63 = 6,199.94 : x
  2. Step 2: Convert to fraction form
    10,980.66/15,149.63 = 6,199.94/x
  3. Step 3: Cross multiply
    10,980.66x = 15,149.63 × 6,199.94
  4. Step 4: Simplify right side
    10,980.66x = 93,926,850.40
  5. Step 5: Solve for x
    x = 93,926,850.40/10,980.66
  6. Step 6: Final answer
    x = 8,553.84

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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.