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Finding the Fourth Proportional to 7,427.93, 10,246.85 and 4,738.46

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Solution

The fourth proportional to 7,427.93, 10,246.85 and 4,738.46 is: 6,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.93 : 10,246.85 = 4,738.46 : x
  2. Step 2: Convert to fraction form
    7,427.93/10,246.85 = 4,738.46/x
  3. Step 3: Cross multiply
    7,427.93x = 10,246.85 × 4,738.46
  4. Step 4: Simplify right side
    7,427.93x = 48,554,213.92
  5. Step 5: Solve for x
    x = 48,554,213.92/7,427.93
  6. Step 6: Final answer
    x = 6,536.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.