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Finding the Fourth Proportional to 11,732.95, 16,192.63 and 6,697.93

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Solution

The fourth proportional to 11,732.95, 16,192.63 and 6,697.93 is: 9,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.95 : 16,192.63 = 6,697.93 : x
  2. Step 2: Convert to fraction form
    11,732.95/16,192.63 = 6,697.93/x
  3. Step 3: Cross multiply
    11,732.95x = 16,192.63 × 6,697.93
  4. Step 4: Simplify right side
    11,732.95x = 108,457,045.03
  5. Step 5: Solve for x
    x = 108,457,045.03/11,732.95
  6. Step 6: Final answer
    x = 9,243.80

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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.