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Finding the Fourth Proportional to 7,847.35, 11,771.06 and 2,656.87

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Solution

The fourth proportional to 7,847.35, 11,771.06 and 2,656.87 is: 3,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.35 : 11,771.06 = 2,656.87 : x
  2. Step 2: Convert to fraction form
    7,847.35/11,771.06 = 2,656.87/x
  3. Step 3: Cross multiply
    7,847.35x = 11,771.06 × 2,656.87
  4. Step 4: Simplify right side
    7,847.35x = 31,274,133.47
  5. Step 5: Solve for x
    x = 31,274,133.47/7,847.35
  6. Step 6: Final answer
    x = 3,985.31

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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.