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Finding the Fourth Proportional to 8,827.62, 12,184.06 and 6,105.98

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Solution

The fourth proportional to 8,827.62, 12,184.06 and 6,105.98 is: 8,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.62 : 12,184.06 = 6,105.98 : x
  2. Step 2: Convert to fraction form
    8,827.62/12,184.06 = 6,105.98/x
  3. Step 3: Cross multiply
    8,827.62x = 12,184.06 × 6,105.98
  4. Step 4: Simplify right side
    8,827.62x = 74,395,644.74
  5. Step 5: Solve for x
    x = 74,395,644.74/8,827.62
  6. Step 6: Final answer
    x = 8,427.60

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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.