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Finding the Fourth Proportional to 11,697.54, 16,142.21 and 7,392.93

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Solution

The fourth proportional to 11,697.54, 16,142.21 and 7,392.93 is: 10,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.54 : 16,142.21 = 7,392.93 : x
  2. Step 2: Convert to fraction form
    11,697.54/16,142.21 = 7,392.93/x
  3. Step 3: Cross multiply
    11,697.54x = 16,142.21 × 7,392.93
  4. Step 4: Simplify right side
    11,697.54x = 119,338,191.61
  5. Step 5: Solve for x
    x = 119,338,191.61/11,697.54
  6. Step 6: Final answer
    x = 10,201.99

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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.