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Finding the Fourth Proportional to 11,484.65, 17,226.78 and 6,543.75

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Solution

The fourth proportional to 11,484.65, 17,226.78 and 6,543.75 is: 9,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.65 : 17,226.78 = 6,543.75 : x
  2. Step 2: Convert to fraction form
    11,484.65/17,226.78 = 6,543.75/x
  3. Step 3: Cross multiply
    11,484.65x = 17,226.78 × 6,543.75
  4. Step 4: Simplify right side
    11,484.65x = 112,727,781.69
  5. Step 5: Solve for x
    x = 112,727,781.69/11,484.65
  6. Step 6: Final answer
    x = 9,815.52

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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.