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Finding the Fourth Proportional to 10,150.10, 14,007.08 and 5,673.83

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Solution

The fourth proportional to 10,150.10, 14,007.08 and 5,673.83 is: 7,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.10 : 14,007.08 = 5,673.83 : x
  2. Step 2: Convert to fraction form
    10,150.10/14,007.08 = 5,673.83/x
  3. Step 3: Cross multiply
    10,150.10x = 14,007.08 × 5,673.83
  4. Step 4: Simplify right side
    10,150.10x = 79,473,839.92
  5. Step 5: Solve for x
    x = 79,473,839.92/10,150.10
  6. Step 6: Final answer
    x = 7,829.86

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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.