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Finding the Fourth Proportional to 11,697.72, 17,530.00 and 9,052.92

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Solution

The fourth proportional to 11,697.72, 17,530.00 and 9,052.92 is: 13,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.72 : 17,530.00 = 9,052.92 : x
  2. Step 2: Convert to fraction form
    11,697.72/17,530.00 = 9,052.92/x
  3. Step 3: Cross multiply
    11,697.72x = 17,530.00 × 9,052.92
  4. Step 4: Simplify right side
    11,697.72x = 158,697,653.05
  5. Step 5: Solve for x
    x = 158,697,653.05/11,697.72
  6. Step 6: Final answer
    x = 13,566.54

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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.