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Finding the Fourth Proportional to 7,438.40, 10,263.86 and 4,789.40

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Solution

The fourth proportional to 7,438.40, 10,263.86 and 4,789.40 is: 6,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.40 : 10,263.86 = 4,789.40 : x
  2. Step 2: Convert to fraction form
    7,438.40/10,263.86 = 4,789.40/x
  3. Step 3: Cross multiply
    7,438.40x = 10,263.86 × 4,789.40
  4. Step 4: Simplify right side
    7,438.40x = 49,157,673.78
  5. Step 5: Solve for x
    x = 49,157,673.78/7,438.40
  6. Step 6: Final answer
    x = 6,608.64

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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.