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Finding the Fourth Proportional to 8,434.85, 11,639.88 and 4,657.92

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Solution

The fourth proportional to 8,434.85, 11,639.88 and 4,657.92 is: 6,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.85 : 11,639.88 = 4,657.92 : x
  2. Step 2: Convert to fraction form
    8,434.85/11,639.88 = 4,657.92/x
  3. Step 3: Cross multiply
    8,434.85x = 11,639.88 × 4,657.92
  4. Step 4: Simplify right side
    8,434.85x = 54,217,629.85
  5. Step 5: Solve for x
    x = 54,217,629.85/8,434.85
  6. Step 6: Final answer
    x = 6,427.82

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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.