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Finding the Fourth Proportional to 11,114.64, 15,338.52 and 7,579.44

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Solution

The fourth proportional to 11,114.64, 15,338.52 and 7,579.44 is: 10,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.64 : 15,338.52 = 7,579.44 : x
  2. Step 2: Convert to fraction form
    11,114.64/15,338.52 = 7,579.44/x
  3. Step 3: Cross multiply
    11,114.64x = 15,338.52 × 7,579.44
  4. Step 4: Simplify right side
    11,114.64x = 116,257,392.03
  5. Step 5: Solve for x
    x = 116,257,392.03/11,114.64
  6. Step 6: Final answer
    x = 10,459.84

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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.