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Finding the Fourth Proportional to 11,170.30, 15,415.41 and 7,400.02

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Solution

The fourth proportional to 11,170.30, 15,415.41 and 7,400.02 is: 10,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.30 : 15,415.41 = 7,400.02 : x
  2. Step 2: Convert to fraction form
    11,170.30/15,415.41 = 7,400.02/x
  3. Step 3: Cross multiply
    11,170.30x = 15,415.41 × 7,400.02
  4. Step 4: Simplify right side
    11,170.30x = 114,074,342.31
  5. Step 5: Solve for x
    x = 114,074,342.31/11,170.30
  6. Step 6: Final answer
    x = 10,212.29

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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.