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Finding the Fourth Proportional to 11,311.80, 15,615.63 and 7,541.25

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Solution

The fourth proportional to 11,311.80, 15,615.63 and 7,541.25 is: 10,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.80 : 15,615.63 = 7,541.25 : x
  2. Step 2: Convert to fraction form
    11,311.80/15,615.63 = 7,541.25/x
  3. Step 3: Cross multiply
    11,311.80x = 15,615.63 × 7,541.25
  4. Step 4: Simplify right side
    11,311.80x = 117,761,369.74
  5. Step 5: Solve for x
    x = 117,761,369.74/11,311.80
  6. Step 6: Final answer
    x = 10,410.49

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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.