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Finding the Fourth Proportional to 7,914.59, 11,865.99 and 2,646.49

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Solution

The fourth proportional to 7,914.59, 11,865.99 and 2,646.49 is: 3,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.59 : 11,865.99 = 2,646.49 : x
  2. Step 2: Convert to fraction form
    7,914.59/11,865.99 = 2,646.49/x
  3. Step 3: Cross multiply
    7,914.59x = 11,865.99 × 2,646.49
  4. Step 4: Simplify right side
    7,914.59x = 31,403,194.21
  5. Step 5: Solve for x
    x = 31,403,194.21/7,914.59
  6. Step 6: Final answer
    x = 3,967.76

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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.