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Finding the Fourth Proportional to 11,557.76, 17,339.22 and 3,660.74

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Solution

The fourth proportional to 11,557.76, 17,339.22 and 3,660.74 is: 5,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.76 : 17,339.22 = 3,660.74 : x
  2. Step 2: Convert to fraction form
    11,557.76/17,339.22 = 3,660.74/x
  3. Step 3: Cross multiply
    11,557.76x = 17,339.22 × 3,660.74
  4. Step 4: Simplify right side
    11,557.76x = 63,474,376.22
  5. Step 5: Solve for x
    x = 63,474,376.22/11,557.76
  6. Step 6: Final answer
    x = 5,491.93

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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.