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Finding the Fourth Proportional to 11,778.96, 17,670.80 and 3,459.24

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Solution

The fourth proportional to 11,778.96, 17,670.80 and 3,459.24 is: 5,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.96 : 17,670.80 = 3,459.24 : x
  2. Step 2: Convert to fraction form
    11,778.96/17,670.80 = 3,459.24/x
  3. Step 3: Cross multiply
    11,778.96x = 17,670.80 × 3,459.24
  4. Step 4: Simplify right side
    11,778.96x = 61,127,538.19
  5. Step 5: Solve for x
    x = 61,127,538.19/11,778.96
  6. Step 6: Final answer
    x = 5,189.55

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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.