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Finding the Fourth Proportional to 7,850.68, 11,753.28 and 6,114.04

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Solution

The fourth proportional to 7,850.68, 11,753.28 and 6,114.04 is: 9,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.68 : 11,753.28 = 6,114.04 : x
  2. Step 2: Convert to fraction form
    7,850.68/11,753.28 = 6,114.04/x
  3. Step 3: Cross multiply
    7,850.68x = 11,753.28 × 6,114.04
  4. Step 4: Simplify right side
    7,850.68x = 71,860,024.05
  5. Step 5: Solve for x
    x = 71,860,024.05/7,850.68
  6. Step 6: Final answer
    x = 9,153.35

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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.