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Finding the Fourth Proportional to 7,704.16, 10,631.83 and 4,346.66

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Solution

The fourth proportional to 7,704.16, 10,631.83 and 4,346.66 is: 5,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.16 : 10,631.83 = 4,346.66 : x
  2. Step 2: Convert to fraction form
    7,704.16/10,631.83 = 4,346.66/x
  3. Step 3: Cross multiply
    7,704.16x = 10,631.83 × 4,346.66
  4. Step 4: Simplify right side
    7,704.16x = 46,212,886.16
  5. Step 5: Solve for x
    x = 46,212,886.16/7,704.16
  6. Step 6: Final answer
    x = 5,998.43

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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.