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Finding the Fourth Proportional to 7,807.09, 10,778.24 and 5,162.17

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Solution

The fourth proportional to 7,807.09, 10,778.24 and 5,162.17 is: 7,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.09 : 10,778.24 = 5,162.17 : x
  2. Step 2: Convert to fraction form
    7,807.09/10,778.24 = 5,162.17/x
  3. Step 3: Cross multiply
    7,807.09x = 10,778.24 × 5,162.17
  4. Step 4: Simplify right side
    7,807.09x = 55,639,027.48
  5. Step 5: Solve for x
    x = 55,639,027.48/7,807.09
  6. Step 6: Final answer
    x = 7,126.74

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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.