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Finding the Fourth Proportional to 8,290.77, 12,436.28 and 4,616.35

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Solution

The fourth proportional to 8,290.77, 12,436.28 and 4,616.35 is: 6,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.77 : 12,436.28 = 4,616.35 : x
  2. Step 2: Convert to fraction form
    8,290.77/12,436.28 = 4,616.35/x
  3. Step 3: Cross multiply
    8,290.77x = 12,436.28 × 4,616.35
  4. Step 4: Simplify right side
    8,290.77x = 57,410,221.18
  5. Step 5: Solve for x
    x = 57,410,221.18/8,290.77
  6. Step 6: Final answer
    x = 6,924.59

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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.