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Finding the Fourth Proportional to 8,364.41, 12,546.59 and 4,616.00

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Solution

The fourth proportional to 8,364.41, 12,546.59 and 4,616.00 is: 6,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.41 : 12,546.59 = 4,616.00 : x
  2. Step 2: Convert to fraction form
    8,364.41/12,546.59 = 4,616.00/x
  3. Step 3: Cross multiply
    8,364.41x = 12,546.59 × 4,616.00
  4. Step 4: Simplify right side
    8,364.41x = 57,914,973.63
  5. Step 5: Solve for x
    x = 57,914,973.63/8,364.41
  6. Step 6: Final answer
    x = 6,923.98

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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.