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Finding the Fourth Proportional to 7,838.38, 10,817.64 and 4,302.28

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Solution

The fourth proportional to 7,838.38, 10,817.64 and 4,302.28 is: 5,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.38 : 10,817.64 = 4,302.28 : x
  2. Step 2: Convert to fraction form
    7,838.38/10,817.64 = 4,302.28/x
  3. Step 3: Cross multiply
    7,838.38x = 10,817.64 × 4,302.28
  4. Step 4: Simplify right side
    7,838.38x = 46,540,516.22
  5. Step 5: Solve for x
    x = 46,540,516.22/7,838.38
  6. Step 6: Final answer
    x = 5,937.52

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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.