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Finding the Fourth Proportional to 7,900.42, 10,902.56 and 4,543.90

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Solution

The fourth proportional to 7,900.42, 10,902.56 and 4,543.90 is: 6,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.42 : 10,902.56 = 4,543.90 : x
  2. Step 2: Convert to fraction form
    7,900.42/10,902.56 = 4,543.90/x
  3. Step 3: Cross multiply
    7,900.42x = 10,902.56 × 4,543.90
  4. Step 4: Simplify right side
    7,900.42x = 49,540,142.38
  5. Step 5: Solve for x
    x = 49,540,142.38/7,900.42
  6. Step 6: Final answer
    x = 6,270.57

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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.