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Finding the Fourth Proportional to 7,857.25, 11,766.41 and 4,560.35

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Solution

The fourth proportional to 7,857.25, 11,766.41 and 4,560.35 is: 6,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.25 : 11,766.41 = 4,560.35 : x
  2. Step 2: Convert to fraction form
    7,857.25/11,766.41 = 4,560.35/x
  3. Step 3: Cross multiply
    7,857.25x = 11,766.41 × 4,560.35
  4. Step 4: Simplify right side
    7,857.25x = 53,658,883.31
  5. Step 5: Solve for x
    x = 53,658,883.31/7,857.25
  6. Step 6: Final answer
    x = 6,829.22

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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.