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Finding the Fourth Proportional to 11,374.74, 17,033.63 and 7,202.16

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Solution

The fourth proportional to 11,374.74, 17,033.63 and 7,202.16 is: 10,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.74 : 17,033.63 = 7,202.16 : x
  2. Step 2: Convert to fraction form
    11,374.74/17,033.63 = 7,202.16/x
  3. Step 3: Cross multiply
    11,374.74x = 17,033.63 × 7,202.16
  4. Step 4: Simplify right side
    11,374.74x = 122,678,892.63
  5. Step 5: Solve for x
    x = 122,678,892.63/11,374.74
  6. Step 6: Final answer
    x = 10,785.20

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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.