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Finding the Fourth Proportional to 10,666.44, 14,719.86 and 5,950.80

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Solution

The fourth proportional to 10,666.44, 14,719.86 and 5,950.80 is: 8,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.44 : 14,719.86 = 5,950.80 : x
  2. Step 2: Convert to fraction form
    10,666.44/14,719.86 = 5,950.80/x
  3. Step 3: Cross multiply
    10,666.44x = 14,719.86 × 5,950.80
  4. Step 4: Simplify right side
    10,666.44x = 87,594,942.89
  5. Step 5: Solve for x
    x = 87,594,942.89/10,666.44
  6. Step 6: Final answer
    x = 8,212.20

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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.