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Finding the Fourth Proportional to 11,214.84, 15,460.30 and 7,847.22

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Solution

The fourth proportional to 11,214.84, 15,460.30 and 7,847.22 is: 10,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.84 : 15,460.30 = 7,847.22 : x
  2. Step 2: Convert to fraction form
    11,214.84/15,460.30 = 7,847.22/x
  3. Step 3: Cross multiply
    11,214.84x = 15,460.30 × 7,847.22
  4. Step 4: Simplify right side
    11,214.84x = 121,320,375.37
  5. Step 5: Solve for x
    x = 121,320,375.37/11,214.84
  6. Step 6: Final answer
    x = 10,817.84

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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.