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Finding the Fourth Proportional to 7,657.93, 10,571.88 and 6,550.77

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Solution

The fourth proportional to 7,657.93, 10,571.88 and 6,550.77 is: 9,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.93 : 10,571.88 = 6,550.77 : x
  2. Step 2: Convert to fraction form
    7,657.93/10,571.88 = 6,550.77/x
  3. Step 3: Cross multiply
    7,657.93x = 10,571.88 × 6,550.77
  4. Step 4: Simplify right side
    7,657.93x = 69,253,901.49
  5. Step 5: Solve for x
    x = 69,253,901.49/7,657.93
  6. Step 6: Final answer
    x = 9,043.42

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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.