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Finding the Fourth Proportional to 7,741.98, 10,689.48 and 4,761.81

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Solution

The fourth proportional to 7,741.98, 10,689.48 and 4,761.81 is: 6,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.98 : 10,689.48 = 4,761.81 : x
  2. Step 2: Convert to fraction form
    7,741.98/10,689.48 = 4,761.81/x
  3. Step 3: Cross multiply
    7,741.98x = 10,689.48 × 4,761.81
  4. Step 4: Simplify right side
    7,741.98x = 50,901,272.76
  5. Step 5: Solve for x
    x = 50,901,272.76/7,741.98
  6. Step 6: Final answer
    x = 6,574.71

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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.