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Finding the Fourth Proportional to 7,963.10, 11,963.01 and 5,010.74

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Solution

The fourth proportional to 7,963.10, 11,963.01 and 5,010.74 is: 7,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.10 : 11,963.01 = 5,010.74 : x
  2. Step 2: Convert to fraction form
    7,963.10/11,963.01 = 5,010.74/x
  3. Step 3: Cross multiply
    7,963.10x = 11,963.01 × 5,010.74
  4. Step 4: Simplify right side
    7,963.10x = 59,943,532.73
  5. Step 5: Solve for x
    x = 59,943,532.73/7,963.10
  6. Step 6: Final answer
    x = 7,527.66

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Why These Related Problems?

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