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Finding the Fourth Proportional to 8,434.78, 11,639.81 and 4,657.72

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Solution

The fourth proportional to 8,434.78, 11,639.81 and 4,657.72 is: 6,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.78 : 11,639.81 = 4,657.72 : x
  2. Step 2: Convert to fraction form
    8,434.78/11,639.81 = 4,657.72/x
  3. Step 3: Cross multiply
    8,434.78x = 11,639.81 × 4,657.72
  4. Step 4: Simplify right side
    8,434.78x = 54,214,975.83
  5. Step 5: Solve for x
    x = 54,214,975.83/8,434.78
  6. Step 6: Final answer
    x = 6,427.55

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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.