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Finding the Fourth Proportional to 7,671.57, 10,584.05 and 5,020.53

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Solution

The fourth proportional to 7,671.57, 10,584.05 and 5,020.53 is: 6,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.57 : 10,584.05 = 5,020.53 : x
  2. Step 2: Convert to fraction form
    7,671.57/10,584.05 = 5,020.53/x
  3. Step 3: Cross multiply
    7,671.57x = 10,584.05 × 5,020.53
  4. Step 4: Simplify right side
    7,671.57x = 53,137,515.44
  5. Step 5: Solve for x
    x = 53,137,515.44/7,671.57
  6. Step 6: Final answer
    x = 6,926.55

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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.