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Finding the Fourth Proportional to 11,412.48, 17,121.12 and 6,484.40

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Solution

The fourth proportional to 11,412.48, 17,121.12 and 6,484.40 is: 9,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.48 : 17,121.12 = 6,484.40 : x
  2. Step 2: Convert to fraction form
    11,412.48/17,121.12 = 6,484.40/x
  3. Step 3: Cross multiply
    11,412.48x = 17,121.12 × 6,484.40
  4. Step 4: Simplify right side
    11,412.48x = 111,020,190.53
  5. Step 5: Solve for x
    x = 111,020,190.53/11,412.48
  6. Step 6: Final answer
    x = 9,727.96

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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.