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Finding the Fourth Proportional to 8,828.69, 12,184.67 and 5,102.69

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Solution

The fourth proportional to 8,828.69, 12,184.67 and 5,102.69 is: 7,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.69 : 12,184.67 = 5,102.69 : x
  2. Step 2: Convert to fraction form
    8,828.69/12,184.67 = 5,102.69/x
  3. Step 3: Cross multiply
    8,828.69x = 12,184.67 × 5,102.69
  4. Step 4: Simplify right side
    8,828.69x = 62,174,563.30
  5. Step 5: Solve for x
    x = 62,174,563.30/8,828.69
  6. Step 6: Final answer
    x = 7,042.33

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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.