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Finding the Fourth Proportional to 7,300.53, 10,074.38 and 4,157.73

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Solution

The fourth proportional to 7,300.53, 10,074.38 and 4,157.73 is: 5,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.53 : 10,074.38 = 4,157.73 : x
  2. Step 2: Convert to fraction form
    7,300.53/10,074.38 = 4,157.73/x
  3. Step 3: Cross multiply
    7,300.53x = 10,074.38 × 4,157.73
  4. Step 4: Simplify right side
    7,300.53x = 41,886,531.17
  5. Step 5: Solve for x
    x = 41,886,531.17/7,300.53
  6. Step 6: Final answer
    x = 5,737.46

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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.