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Finding the Fourth Proportional to 7,764.93, 10,716.30 and 4,407.89

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Solution

The fourth proportional to 7,764.93, 10,716.30 and 4,407.89 is: 6,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.93 : 10,716.30 = 4,407.89 : x
  2. Step 2: Convert to fraction form
    7,764.93/10,716.30 = 4,407.89/x
  3. Step 3: Cross multiply
    7,764.93x = 10,716.30 × 4,407.89
  4. Step 4: Simplify right side
    7,764.93x = 47,236,218.03
  5. Step 5: Solve for x
    x = 47,236,218.03/7,764.93
  6. Step 6: Final answer
    x = 6,083.28

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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.