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Finding the Fourth Proportional to 11,561.50, 15,954.81 and 6,256.30

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Solution

The fourth proportional to 11,561.50, 15,954.81 and 6,256.30 is: 8,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.50 : 15,954.81 = 6,256.30 : x
  2. Step 2: Convert to fraction form
    11,561.50/15,954.81 = 6,256.30/x
  3. Step 3: Cross multiply
    11,561.50x = 15,954.81 × 6,256.30
  4. Step 4: Simplify right side
    11,561.50x = 99,818,077.80
  5. Step 5: Solve for x
    x = 99,818,077.80/11,561.50
  6. Step 6: Final answer
    x = 8,633.66

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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.