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Finding the Fourth Proportional to 11,598.67, 16,000.17 and 7,342.52

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Solution

The fourth proportional to 11,598.67, 16,000.17 and 7,342.52 is: 10,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.67 : 16,000.17 = 7,342.52 : x
  2. Step 2: Convert to fraction form
    11,598.67/16,000.17 = 7,342.52/x
  3. Step 3: Cross multiply
    11,598.67x = 16,000.17 × 7,342.52
  4. Step 4: Simplify right side
    11,598.67x = 117,481,568.23
  5. Step 5: Solve for x
    x = 117,481,568.23/11,598.67
  6. Step 6: Final answer
    x = 10,128.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.