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Finding the Fourth Proportional to 8,461.36, 12,679.72 and 6,000.96

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Solution

The fourth proportional to 8,461.36, 12,679.72 and 6,000.96 is: 8,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.36 : 12,679.72 = 6,000.96 : x
  2. Step 2: Convert to fraction form
    8,461.36/12,679.72 = 6,000.96/x
  3. Step 3: Cross multiply
    8,461.36x = 12,679.72 × 6,000.96
  4. Step 4: Simplify right side
    8,461.36x = 76,090,492.53
  5. Step 5: Solve for x
    x = 76,090,492.53/8,461.36
  6. Step 6: Final answer
    x = 8,992.70

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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.