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Finding the Fourth Proportional to 7,853.94, 10,838.34 and 4,317.12

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Solution

The fourth proportional to 7,853.94, 10,838.34 and 4,317.12 is: 5,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.94 : 10,838.34 = 4,317.12 : x
  2. Step 2: Convert to fraction form
    7,853.94/10,838.34 = 4,317.12/x
  3. Step 3: Cross multiply
    7,853.94x = 10,838.34 × 4,317.12
  4. Step 4: Simplify right side
    7,853.94x = 46,790,414.38
  5. Step 5: Solve for x
    x = 46,790,414.38/7,853.94
  6. Step 6: Final answer
    x = 5,957.57

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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.