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Finding the Fourth Proportional to 8,850.67, 13,261.57 and 5,156.00

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Solution

The fourth proportional to 8,850.67, 13,261.57 and 5,156.00 is: 7,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,850.67 : 13,261.57 = 5,156.00 : x
  2. Step 2: Convert to fraction form
    8,850.67/13,261.57 = 5,156.00/x
  3. Step 3: Cross multiply
    8,850.67x = 13,261.57 × 5,156.00
  4. Step 4: Simplify right side
    8,850.67x = 68,376,729.05
  5. Step 5: Solve for x
    x = 68,376,729.05/8,850.67
  6. Step 6: Final answer
    x = 7,725.60

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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.