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Finding the Fourth Proportional to 8,000.10, 12,000.15 and 7,416.90

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Solution

The fourth proportional to 8,000.10, 12,000.15 and 7,416.90 is: 11,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.10 : 12,000.15 = 7,416.90 : x
  2. Step 2: Convert to fraction form
    8,000.10/12,000.15 = 7,416.90/x
  3. Step 3: Cross multiply
    8,000.10x = 12,000.15 × 7,416.90
  4. Step 4: Simplify right side
    8,000.10x = 89,003,912.54
  5. Step 5: Solve for x
    x = 89,003,912.54/8,000.10
  6. Step 6: Final answer
    x = 11,125.35

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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.