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Finding the Fourth Proportional to 8,510.70, 11,741.28 and 6,147.66

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Solution

The fourth proportional to 8,510.70, 11,741.28 and 6,147.66 is: 8,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.70 : 11,741.28 = 6,147.66 : x
  2. Step 2: Convert to fraction form
    8,510.70/11,741.28 = 6,147.66/x
  3. Step 3: Cross multiply
    8,510.70x = 11,741.28 × 6,147.66
  4. Step 4: Simplify right side
    8,510.70x = 72,181,397.40
  5. Step 5: Solve for x
    x = 72,181,397.40/8,510.70
  6. Step 6: Final answer
    x = 8,481.25

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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.