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Finding the Fourth Proportional to 11,497.44, 17,242.68 and 4,101

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Solution

The fourth proportional to 11,497.44, 17,242.68 and 4,101 is: 6,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.44 : 17,242.68 = 4,101 : x
  2. Step 2: Convert to fraction form
    11,497.44/17,242.68 = 4,101/x
  3. Step 3: Cross multiply
    11,497.44x = 17,242.68 × 4,101
  4. Step 4: Simplify right side
    11,497.44x = 70,712,230.68
  5. Step 5: Solve for x
    x = 70,712,230.68/11,497.44
  6. Step 6: Final answer
    x = 6,150.26

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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.