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Finding the Fourth Proportional to 11,706.44, 17,536.50 and 6,151.48

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Solution

The fourth proportional to 11,706.44, 17,536.50 and 6,151.48 is: 9,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.44 : 17,536.50 = 6,151.48 : x
  2. Step 2: Convert to fraction form
    11,706.44/17,536.50 = 6,151.48/x
  3. Step 3: Cross multiply
    11,706.44x = 17,536.50 × 6,151.48
  4. Step 4: Simplify right side
    11,706.44x = 107,875,429.02
  5. Step 5: Solve for x
    x = 107,875,429.02/11,706.44
  6. Step 6: Final answer
    x = 9,215.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.