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Finding the Fourth Proportional to 7,853.78, 10,838.45 and 4,317.23

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Solution

The fourth proportional to 7,853.78, 10,838.45 and 4,317.23 is: 5,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.78 : 10,838.45 = 4,317.23 : x
  2. Step 2: Convert to fraction form
    7,853.78/10,838.45 = 4,317.23/x
  3. Step 3: Cross multiply
    7,853.78x = 10,838.45 × 4,317.23
  4. Step 4: Simplify right side
    7,853.78x = 46,792,119.38
  5. Step 5: Solve for x
    x = 46,792,119.38/7,853.78
  6. Step 6: Final answer
    x = 5,957.91

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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.