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Finding the Fourth Proportional to 7,142.27, 9,853.11 and 4,156.38

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Solution

The fourth proportional to 7,142.27, 9,853.11 and 4,156.38 is: 5,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.27 : 9,853.11 = 4,156.38 : x
  2. Step 2: Convert to fraction form
    7,142.27/9,853.11 = 4,156.38/x
  3. Step 3: Cross multiply
    7,142.27x = 9,853.11 × 4,156.38
  4. Step 4: Simplify right side
    7,142.27x = 40,953,269.34
  5. Step 5: Solve for x
    x = 40,953,269.34/7,142.27
  6. Step 6: Final answer
    x = 5,733.93

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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.