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Finding the Fourth Proportional to 5,011.43, 7,551 and 4,153.03

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Solution

The fourth proportional to 5,011.43, 7,551 and 4,153.03 is: 6,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.43 : 7,551 = 4,153.03 : x
  2. Step 2: Convert to fraction form
    5,011.43/7,551 = 4,153.03/x
  3. Step 3: Cross multiply
    5,011.43x = 7,551 × 4,153.03
  4. Step 4: Simplify right side
    5,011.43x = 31,359,510.65
  5. Step 5: Solve for x
    x = 31,359,510.65/5,011.43
  6. Step 6: Final answer
    x = 6,257.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.