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Finding the Fourth Proportional to 7,640.30, 11,438.58 and 4,698.78

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Solution

The fourth proportional to 7,640.30, 11,438.58 and 4,698.78 is: 7,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.30 : 11,438.58 = 4,698.78 : x
  2. Step 2: Convert to fraction form
    7,640.30/11,438.58 = 4,698.78/x
  3. Step 3: Cross multiply
    7,640.30x = 11,438.58 × 4,698.78
  4. Step 4: Simplify right side
    7,640.30x = 53,747,370.93
  5. Step 5: Solve for x
    x = 53,747,370.93/7,640.30
  6. Step 6: Final answer
    x = 7,034.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.