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Finding the Fourth Proportional to 8,160.07, 12,244.29 and 4,000

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Solution

The fourth proportional to 8,160.07, 12,244.29 and 4,000 is: 6,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.07 : 12,244.29 = 4,000 : x
  2. Step 2: Convert to fraction form
    8,160.07/12,244.29 = 4,000/x
  3. Step 3: Cross multiply
    8,160.07x = 12,244.29 × 4,000
  4. Step 4: Simplify right side
    8,160.07x = 48,977,160
  5. Step 5: Solve for x
    x = 48,977,160/8,160.07
  6. Step 6: Final answer
    x = 6,002.05

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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.