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Finding the Fourth Proportional to 7,642.09, 10,550.69 and 4,993.93

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Solution

The fourth proportional to 7,642.09, 10,550.69 and 4,993.93 is: 6,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.09 : 10,550.69 = 4,993.93 : x
  2. Step 2: Convert to fraction form
    7,642.09/10,550.69 = 4,993.93/x
  3. Step 3: Cross multiply
    7,642.09x = 10,550.69 × 4,993.93
  4. Step 4: Simplify right side
    7,642.09x = 52,689,382.34
  5. Step 5: Solve for x
    x = 52,689,382.34/7,642.09
  6. Step 6: Final answer
    x = 6,894.63

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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.