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Finding the Fourth Proportional to 8,433.98, 11,639.59 and 4,657.49

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Solution

The fourth proportional to 8,433.98, 11,639.59 and 4,657.49 is: 6,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.98 : 11,639.59 = 4,657.49 : x
  2. Step 2: Convert to fraction form
    8,433.98/11,639.59 = 4,657.49/x
  3. Step 3: Cross multiply
    8,433.98x = 11,639.59 × 4,657.49
  4. Step 4: Simplify right side
    8,433.98x = 54,211,204.19
  5. Step 5: Solve for x
    x = 54,211,204.19/8,433.98
  6. Step 6: Final answer
    x = 6,427.72

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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.