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Finding the Fourth Proportional to 7,374, 10,169.82 and 4,541.43

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Solution

The fourth proportional to 7,374, 10,169.82 and 4,541.43 is: 6,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374 : 10,169.82 = 4,541.43 : x
  2. Step 2: Convert to fraction form
    7,374/10,169.82 = 4,541.43/x
  3. Step 3: Cross multiply
    7,374x = 10,169.82 × 4,541.43
  4. Step 4: Simplify right side
    7,374x = 46,185,525.64
  5. Step 5: Solve for x
    x = 46,185,525.64/7,374
  6. Step 6: Final answer
    x = 6,263.29

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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.