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Finding the Fourth Proportional to 11,598.39, 17,393.64 and 4,201.17

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Solution

The fourth proportional to 11,598.39, 17,393.64 and 4,201.17 is: 6,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.39 : 17,393.64 = 4,201.17 : x
  2. Step 2: Convert to fraction form
    11,598.39/17,393.64 = 4,201.17/x
  3. Step 3: Cross multiply
    11,598.39x = 17,393.64 × 4,201.17
  4. Step 4: Simplify right side
    11,598.39x = 73,073,557.58
  5. Step 5: Solve for x
    x = 73,073,557.58/11,598.39
  6. Step 6: Final answer
    x = 6,300.32

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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.