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Finding the Fourth Proportional to 11,599.17, 17,390.23 and 3,697.13

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Solution

The fourth proportional to 11,599.17, 17,390.23 and 3,697.13 is: 5,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.17 : 17,390.23 = 3,697.13 : x
  2. Step 2: Convert to fraction form
    11,599.17/17,390.23 = 3,697.13/x
  3. Step 3: Cross multiply
    11,599.17x = 17,390.23 × 3,697.13
  4. Step 4: Simplify right side
    11,599.17x = 64,293,985.67
  5. Step 5: Solve for x
    x = 64,293,985.67/11,599.17
  6. Step 6: Final answer
    x = 5,542.98

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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.