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Finding the Fourth Proportional to 11,561.49, 15,954.74 and 6,256.20

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Solution

The fourth proportional to 11,561.49, 15,954.74 and 6,256.20 is: 8,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.49 : 15,954.74 = 6,256.20 : x
  2. Step 2: Convert to fraction form
    11,561.49/15,954.74 = 6,256.20/x
  3. Step 3: Cross multiply
    11,561.49x = 15,954.74 × 6,256.20
  4. Step 4: Simplify right side
    11,561.49x = 99,816,044.39
  5. Step 5: Solve for x
    x = 99,816,044.39/11,561.49
  6. Step 6: Final answer
    x = 8,633.49

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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.