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Finding the Fourth Proportional to 8,174.69, 11,281.07 and 4,448.69

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Solution

The fourth proportional to 8,174.69, 11,281.07 and 4,448.69 is: 6,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.69 : 11,281.07 = 4,448.69 : x
  2. Step 2: Convert to fraction form
    8,174.69/11,281.07 = 4,448.69/x
  3. Step 3: Cross multiply
    8,174.69x = 11,281.07 × 4,448.69
  4. Step 4: Simplify right side
    8,174.69x = 50,185,955.10
  5. Step 5: Solve for x
    x = 50,185,955.10/8,174.69
  6. Step 6: Final answer
    x = 6,139.19

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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.