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Finding the Fourth Proportional to 7,263.74, 10,020.25 and 4,747.31

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Solution

The fourth proportional to 7,263.74, 10,020.25 and 4,747.31 is: 6,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.74 : 10,020.25 = 4,747.31 : x
  2. Step 2: Convert to fraction form
    7,263.74/10,020.25 = 4,747.31/x
  3. Step 3: Cross multiply
    7,263.74x = 10,020.25 × 4,747.31
  4. Step 4: Simplify right side
    7,263.74x = 47,569,246.21
  5. Step 5: Solve for x
    x = 47,569,246.21/7,263.74
  6. Step 6: Final answer
    x = 6,548.87

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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.