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Finding the Fourth Proportional to 8,342.31, 11,486.16 and 7,080.74

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Solution

The fourth proportional to 8,342.31, 11,486.16 and 7,080.74 is: 9,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.31 : 11,486.16 = 7,080.74 : x
  2. Step 2: Convert to fraction form
    8,342.31/11,486.16 = 7,080.74/x
  3. Step 3: Cross multiply
    8,342.31x = 11,486.16 × 7,080.74
  4. Step 4: Simplify right side
    8,342.31x = 81,330,512.56
  5. Step 5: Solve for x
    x = 81,330,512.56/8,342.31
  6. Step 6: Final answer
    x = 9,749.16

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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.