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Finding the Fourth Proportional to 7,474.94, 10,313.25 and 4,823.90

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Solution

The fourth proportional to 7,474.94, 10,313.25 and 4,823.90 is: 6,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.94 : 10,313.25 = 4,823.90 : x
  2. Step 2: Convert to fraction form
    7,474.94/10,313.25 = 4,823.90/x
  3. Step 3: Cross multiply
    7,474.94x = 10,313.25 × 4,823.90
  4. Step 4: Simplify right side
    7,474.94x = 49,750,086.68
  5. Step 5: Solve for x
    x = 49,750,086.68/7,474.94
  6. Step 6: Final answer
    x = 6,655.58

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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.