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Finding the Fourth Proportional to 7,894.28, 10,892.81 and 4,536.38

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Solution

The fourth proportional to 7,894.28, 10,892.81 and 4,536.38 is: 6,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.28 : 10,892.81 = 4,536.38 : x
  2. Step 2: Convert to fraction form
    7,894.28/10,892.81 = 4,536.38/x
  3. Step 3: Cross multiply
    7,894.28x = 10,892.81 × 4,536.38
  4. Step 4: Simplify right side
    7,894.28x = 49,413,929.98
  5. Step 5: Solve for x
    x = 49,413,929.98/7,894.28
  6. Step 6: Final answer
    x = 6,259.46

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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.