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Finding the Fourth Proportional to 11,597.40, 17,380.36 and 5,343.64

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Solution

The fourth proportional to 11,597.40, 17,380.36 and 5,343.64 is: 8,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.40 : 17,380.36 = 5,343.64 : x
  2. Step 2: Convert to fraction form
    11,597.40/17,380.36 = 5,343.64/x
  3. Step 3: Cross multiply
    11,597.40x = 17,380.36 × 5,343.64
  4. Step 4: Simplify right side
    11,597.40x = 92,874,386.91
  5. Step 5: Solve for x
    x = 92,874,386.91/11,597.40
  6. Step 6: Final answer
    x = 8,008.21

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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.