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Finding the Fourth Proportional to 11,707.52, 17,541.52 and 8,238.56

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Solution

The fourth proportional to 11,707.52, 17,541.52 and 8,238.56 is: 12,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.52 : 17,541.52 = 8,238.56 : x
  2. Step 2: Convert to fraction form
    11,707.52/17,541.52 = 8,238.56/x
  3. Step 3: Cross multiply
    11,707.52x = 17,541.52 × 8,238.56
  4. Step 4: Simplify right side
    11,707.52x = 144,516,865.01
  5. Step 5: Solve for x
    x = 144,516,865.01/11,707.52
  6. Step 6: Final answer
    x = 12,343.93

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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.