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Finding the Fourth Proportional to 11,510.08, 17,235.96 and 9,196.72

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Solution

The fourth proportional to 11,510.08, 17,235.96 and 9,196.72 is: 13,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.08 : 17,235.96 = 9,196.72 : x
  2. Step 2: Convert to fraction form
    11,510.08/17,235.96 = 9,196.72/x
  3. Step 3: Cross multiply
    11,510.08x = 17,235.96 × 9,196.72
  4. Step 4: Simplify right side
    11,510.08x = 158,514,298.05
  5. Step 5: Solve for x
    x = 158,514,298.05/11,510.08
  6. Step 6: Final answer
    x = 13,771.78

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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.