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Finding the Fourth Proportional to 7,762.24, 10,716.25 and 5,941.83

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Solution

The fourth proportional to 7,762.24, 10,716.25 and 5,941.83 is: 8,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.24 : 10,716.25 = 5,941.83 : x
  2. Step 2: Convert to fraction form
    7,762.24/10,716.25 = 5,941.83/x
  3. Step 3: Cross multiply
    7,762.24x = 10,716.25 × 5,941.83
  4. Step 4: Simplify right side
    7,762.24x = 63,674,135.74
  5. Step 5: Solve for x
    x = 63,674,135.74/7,762.24
  6. Step 6: Final answer
    x = 8,203.07

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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.