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Finding the Fourth Proportional to 7,733.93, 10,673.03 and 4,197.14

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Solution

The fourth proportional to 7,733.93, 10,673.03 and 4,197.14 is: 5,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.93 : 10,673.03 = 4,197.14 : x
  2. Step 2: Convert to fraction form
    7,733.93/10,673.03 = 4,197.14/x
  3. Step 3: Cross multiply
    7,733.93x = 10,673.03 × 4,197.14
  4. Step 4: Simplify right side
    7,733.93x = 44,796,201.13
  5. Step 5: Solve for x
    x = 44,796,201.13/7,733.93
  6. Step 6: Final answer
    x = 5,792.17

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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.