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Finding the Fourth Proportional to 7,710.46, 10,640.46 and 4,566.44

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Solution

The fourth proportional to 7,710.46, 10,640.46 and 4,566.44 is: 6,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.46 : 10,640.46 = 4,566.44 : x
  2. Step 2: Convert to fraction form
    7,710.46/10,640.46 = 4,566.44/x
  3. Step 3: Cross multiply
    7,710.46x = 10,640.46 × 4,566.44
  4. Step 4: Simplify right side
    7,710.46x = 48,589,065.89
  5. Step 5: Solve for x
    x = 48,589,065.89/7,710.46
  6. Step 6: Final answer
    x = 6,301.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.