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Finding the Fourth Proportional to 11,343.82, 15,654.86 and 6,309.46

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Solution

The fourth proportional to 11,343.82, 15,654.86 and 6,309.46 is: 8,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.82 : 15,654.86 = 6,309.46 : x
  2. Step 2: Convert to fraction form
    11,343.82/15,654.86 = 6,309.46/x
  3. Step 3: Cross multiply
    11,343.82x = 15,654.86 × 6,309.46
  4. Step 4: Simplify right side
    11,343.82x = 98,773,712.98
  5. Step 5: Solve for x
    x = 98,773,712.98/11,343.82
  6. Step 6: Final answer
    x = 8,707.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.