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Finding the Fourth Proportional to 7,570.38, 10,447.62 and 4,213.19

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Solution

The fourth proportional to 7,570.38, 10,447.62 and 4,213.19 is: 5,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.38 : 10,447.62 = 4,213.19 : x
  2. Step 2: Convert to fraction form
    7,570.38/10,447.62 = 4,213.19/x
  3. Step 3: Cross multiply
    7,570.38x = 10,447.62 × 4,213.19
  4. Step 4: Simplify right side
    7,570.38x = 44,017,745.34
  5. Step 5: Solve for x
    x = 44,017,745.34/7,570.38
  6. Step 6: Final answer
    x = 5,814.47

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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.