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Finding the Fourth Proportional to 8,309.10, 11,462.93 and 5,282.61

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Solution

The fourth proportional to 8,309.10, 11,462.93 and 5,282.61 is: 7,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.10 : 11,462.93 = 5,282.61 : x
  2. Step 2: Convert to fraction form
    8,309.10/11,462.93 = 5,282.61/x
  3. Step 3: Cross multiply
    8,309.10x = 11,462.93 × 5,282.61
  4. Step 4: Simplify right side
    8,309.10x = 60,554,196.60
  5. Step 5: Solve for x
    x = 60,554,196.60/8,309.10
  6. Step 6: Final answer
    x = 7,287.69

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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.