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Finding the Fourth Proportional to 7,648.47, 11,454.23 and 4,351.58

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Solution

The fourth proportional to 7,648.47, 11,454.23 and 4,351.58 is: 6,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.47 : 11,454.23 = 4,351.58 : x
  2. Step 2: Convert to fraction form
    7,648.47/11,454.23 = 4,351.58/x
  3. Step 3: Cross multiply
    7,648.47x = 11,454.23 × 4,351.58
  4. Step 4: Simplify right side
    7,648.47x = 49,843,919.15
  5. Step 5: Solve for x
    x = 49,843,919.15/7,648.47
  6. Step 6: Final answer
    x = 6,516.85

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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.