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Finding the Fourth Proportional to 7,701.57, 10,628.01 and 4,344.66

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Solution

The fourth proportional to 7,701.57, 10,628.01 and 4,344.66 is: 5,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.57 : 10,628.01 = 4,344.66 : x
  2. Step 2: Convert to fraction form
    7,701.57/10,628.01 = 4,344.66/x
  3. Step 3: Cross multiply
    7,701.57x = 10,628.01 × 4,344.66
  4. Step 4: Simplify right side
    7,701.57x = 46,175,089.93
  5. Step 5: Solve for x
    x = 46,175,089.93/7,701.57
  6. Step 6: Final answer
    x = 5,995.54

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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.