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Finding the Fourth Proportional to 7,887.72, 10,874.90 and 6,466.12

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Solution

The fourth proportional to 7,887.72, 10,874.90 and 6,466.12 is: 8,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.72 : 10,874.90 = 6,466.12 : x
  2. Step 2: Convert to fraction form
    7,887.72/10,874.90 = 6,466.12/x
  3. Step 3: Cross multiply
    7,887.72x = 10,874.90 × 6,466.12
  4. Step 4: Simplify right side
    7,887.72x = 70,318,408.39
  5. Step 5: Solve for x
    x = 70,318,408.39/7,887.72
  6. Step 6: Final answer
    x = 8,914.92

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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.