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Finding the Fourth Proportional to 11,534.49, 15,899.36 and 8,170.02

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Solution

The fourth proportional to 11,534.49, 15,899.36 and 8,170.02 is: 11,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.49 : 15,899.36 = 8,170.02 : x
  2. Step 2: Convert to fraction form
    11,534.49/15,899.36 = 8,170.02/x
  3. Step 3: Cross multiply
    11,534.49x = 15,899.36 × 8,170.02
  4. Step 4: Simplify right side
    11,534.49x = 129,898,048.34
  5. Step 5: Solve for x
    x = 129,898,048.34/11,534.49
  6. Step 6: Final answer
    x = 11,261.71

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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.