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Finding the Fourth Proportional to 8,263.27, 11,407.76 and 6,370.71

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Solution

The fourth proportional to 8,263.27, 11,407.76 and 6,370.71 is: 8,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.27 : 11,407.76 = 6,370.71 : x
  2. Step 2: Convert to fraction form
    8,263.27/11,407.76 = 6,370.71/x
  3. Step 3: Cross multiply
    8,263.27x = 11,407.76 × 6,370.71
  4. Step 4: Simplify right side
    8,263.27x = 72,675,441.82
  5. Step 5: Solve for x
    x = 72,675,441.82/8,263.27
  6. Step 6: Final answer
    x = 8,795.00

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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.