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Finding the Fourth Proportional to 8,109.64, 11,188.02 and 7,553.80

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Solution

The fourth proportional to 8,109.64, 11,188.02 and 7,553.80 is: 10,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.64 : 11,188.02 = 7,553.80 : x
  2. Step 2: Convert to fraction form
    8,109.64/11,188.02 = 7,553.80/x
  3. Step 3: Cross multiply
    8,109.64x = 11,188.02 × 7,553.80
  4. Step 4: Simplify right side
    8,109.64x = 84,512,065.48
  5. Step 5: Solve for x
    x = 84,512,065.48/8,109.64
  6. Step 6: Final answer
    x = 10,421.19

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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.