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Finding the Fourth Proportional to 7,149.83, 10,706.17 and 4,935.50

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Solution

The fourth proportional to 7,149.83, 10,706.17 and 4,935.50 is: 7,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.83 : 10,706.17 = 4,935.50 : x
  2. Step 2: Convert to fraction form
    7,149.83/10,706.17 = 4,935.50/x
  3. Step 3: Cross multiply
    7,149.83x = 10,706.17 × 4,935.50
  4. Step 4: Simplify right side
    7,149.83x = 52,840,302.04
  5. Step 5: Solve for x
    x = 52,840,302.04/7,149.83
  6. Step 6: Final answer
    x = 7,390.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.