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Finding the Fourth Proportional to 7,707.69, 11,550.60 and 5,632.47

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Solution

The fourth proportional to 7,707.69, 11,550.60 and 5,632.47 is: 8,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.69 : 11,550.60 = 5,632.47 : x
  2. Step 2: Convert to fraction form
    7,707.69/11,550.60 = 5,632.47/x
  3. Step 3: Cross multiply
    7,707.69x = 11,550.60 × 5,632.47
  4. Step 4: Simplify right side
    7,707.69x = 65,058,407.98
  5. Step 5: Solve for x
    x = 65,058,407.98/7,707.69
  6. Step 6: Final answer
    x = 8,440.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.