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Finding the Fourth Proportional to 8,549.69, 11,802.18 and 5,193.59

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Solution

The fourth proportional to 8,549.69, 11,802.18 and 5,193.59 is: 7,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.69 : 11,802.18 = 5,193.59 : x
  2. Step 2: Convert to fraction form
    8,549.69/11,802.18 = 5,193.59/x
  3. Step 3: Cross multiply
    8,549.69x = 11,802.18 × 5,193.59
  4. Step 4: Simplify right side
    8,549.69x = 61,295,625.02
  5. Step 5: Solve for x
    x = 61,295,625.02/8,549.69
  6. Step 6: Final answer
    x = 7,169.34

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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.