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Finding the Fourth Proportional to 7,914.49, 11,867.02 and 2,648.22

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Solution

The fourth proportional to 7,914.49, 11,867.02 and 2,648.22 is: 3,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.49 : 11,867.02 = 2,648.22 : x
  2. Step 2: Convert to fraction form
    7,914.49/11,867.02 = 2,648.22/x
  3. Step 3: Cross multiply
    7,914.49x = 11,867.02 × 2,648.22
  4. Step 4: Simplify right side
    7,914.49x = 31,426,428.58
  5. Step 5: Solve for x
    x = 31,426,428.58/7,914.49
  6. Step 6: Final answer
    x = 3,970.75

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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.