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Finding the Fourth Proportional to 8,089.90, 11,164 and 4,553.04

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Solution

The fourth proportional to 8,089.90, 11,164 and 4,553.04 is: 6,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.90 : 11,164 = 4,553.04 : x
  2. Step 2: Convert to fraction form
    8,089.90/11,164 = 4,553.04/x
  3. Step 3: Cross multiply
    8,089.90x = 11,164 × 4,553.04
  4. Step 4: Simplify right side
    8,089.90x = 50,830,138.56
  5. Step 5: Solve for x
    x = 50,830,138.56/8,089.90
  6. Step 6: Final answer
    x = 6,283.16

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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.