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Finding the Fourth Proportional to 7,356.26, 10,141.70 and 4,994.30

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Solution

The fourth proportional to 7,356.26, 10,141.70 and 4,994.30 is: 6,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.26 : 10,141.70 = 4,994.30 : x
  2. Step 2: Convert to fraction form
    7,356.26/10,141.70 = 4,994.30/x
  3. Step 3: Cross multiply
    7,356.26x = 10,141.70 × 4,994.30
  4. Step 4: Simplify right side
    7,356.26x = 50,650,616.63
  5. Step 5: Solve for x
    x = 50,650,616.63/7,356.26
  6. Step 6: Final answer
    x = 6,885.38

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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.