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Finding the Fourth Proportional to 9,010.74, 13,516.11 and 7,682.34

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Solution

The fourth proportional to 9,010.74, 13,516.11 and 7,682.34 is: 11,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.74 : 13,516.11 = 7,682.34 : x
  2. Step 2: Convert to fraction form
    9,010.74/13,516.11 = 7,682.34/x
  3. Step 3: Cross multiply
    9,010.74x = 13,516.11 × 7,682.34
  4. Step 4: Simplify right side
    9,010.74x = 103,835,352.50
  5. Step 5: Solve for x
    x = 103,835,352.50/9,010.74
  6. Step 6: Final answer
    x = 11,523.51

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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.