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Finding the Fourth Proportional to 11,271.32, 15,540.24 and 7,231.01

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Solution

The fourth proportional to 11,271.32, 15,540.24 and 7,231.01 is: 9,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.32 : 15,540.24 = 7,231.01 : x
  2. Step 2: Convert to fraction form
    11,271.32/15,540.24 = 7,231.01/x
  3. Step 3: Cross multiply
    11,271.32x = 15,540.24 × 7,231.01
  4. Step 4: Simplify right side
    11,271.32x = 112,371,630.84
  5. Step 5: Solve for x
    x = 112,371,630.84/11,271.32
  6. Step 6: Final answer
    x = 9,969.70

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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.