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Finding the Fourth Proportional to 7,857.31, 10,843.37 and 4,712.89

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Solution

The fourth proportional to 7,857.31, 10,843.37 and 4,712.89 is: 6,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.31 : 10,843.37 = 4,712.89 : x
  2. Step 2: Convert to fraction form
    7,857.31/10,843.37 = 4,712.89/x
  3. Step 3: Cross multiply
    7,857.31x = 10,843.37 × 4,712.89
  4. Step 4: Simplify right side
    7,857.31x = 51,103,567.60
  5. Step 5: Solve for x
    x = 51,103,567.60/7,857.31
  6. Step 6: Final answer
    x = 6,503.96

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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.