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Finding the Fourth Proportional to 11,697.59, 16,140.81 and 6,661.91

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Solution

The fourth proportional to 11,697.59, 16,140.81 and 6,661.91 is: 9,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.59 : 16,140.81 = 6,661.91 : x
  2. Step 2: Convert to fraction form
    11,697.59/16,140.81 = 6,661.91/x
  3. Step 3: Cross multiply
    11,697.59x = 16,140.81 × 6,661.91
  4. Step 4: Simplify right side
    11,697.59x = 107,528,623.55
  5. Step 5: Solve for x
    x = 107,528,623.55/11,697.59
  6. Step 6: Final answer
    x = 9,192.37

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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.