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Finding the Fourth Proportional to 7,885.90, 11,820.87 and 5,114.33

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Solution

The fourth proportional to 7,885.90, 11,820.87 and 5,114.33 is: 7,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.90 : 11,820.87 = 5,114.33 : x
  2. Step 2: Convert to fraction form
    7,885.90/11,820.87 = 5,114.33/x
  3. Step 3: Cross multiply
    7,885.90x = 11,820.87 × 5,114.33
  4. Step 4: Simplify right side
    7,885.90x = 60,455,859.62
  5. Step 5: Solve for x
    x = 60,455,859.62/7,885.90
  6. Step 6: Final answer
    x = 7,666.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.