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Finding the Fourth Proportional to 11,491.94, 17,239.40 and 4,098.53

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Solution

The fourth proportional to 11,491.94, 17,239.40 and 4,098.53 is: 6,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.94 : 17,239.40 = 4,098.53 : x
  2. Step 2: Convert to fraction form
    11,491.94/17,239.40 = 4,098.53/x
  3. Step 3: Cross multiply
    11,491.94x = 17,239.40 × 4,098.53
  4. Step 4: Simplify right side
    11,491.94x = 70,656,091.39
  5. Step 5: Solve for x
    x = 70,656,091.39/11,491.94
  6. Step 6: Final answer
    x = 6,148.32

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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.