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Finding the Fourth Proportional to 11,600.46, 17,386.74 and 5,351.76

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Solution

The fourth proportional to 11,600.46, 17,386.74 and 5,351.76 is: 8,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.46 : 17,386.74 = 5,351.76 : x
  2. Step 2: Convert to fraction form
    11,600.46/17,386.74 = 5,351.76/x
  3. Step 3: Cross multiply
    11,600.46x = 17,386.74 × 5,351.76
  4. Step 4: Simplify right side
    11,600.46x = 93,049,659.66
  5. Step 5: Solve for x
    x = 93,049,659.66/11,600.46
  6. Step 6: Final answer
    x = 8,021.20

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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.