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Finding the Fourth Proportional to 7,781.94, 10,739.97 and 4,332.87

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Solution

The fourth proportional to 7,781.94, 10,739.97 and 4,332.87 is: 5,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.94 : 10,739.97 = 4,332.87 : x
  2. Step 2: Convert to fraction form
    7,781.94/10,739.97 = 4,332.87/x
  3. Step 3: Cross multiply
    7,781.94x = 10,739.97 × 4,332.87
  4. Step 4: Simplify right side
    7,781.94x = 46,534,893.81
  5. Step 5: Solve for x
    x = 46,534,893.81/7,781.94
  6. Step 6: Final answer
    x = 5,979.86

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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.