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Finding the Fourth Proportional to 8,002.89, 12,008.94 and 4,305.24

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Solution

The fourth proportional to 8,002.89, 12,008.94 and 4,305.24 is: 6,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.89 : 12,008.94 = 4,305.24 : x
  2. Step 2: Convert to fraction form
    8,002.89/12,008.94 = 4,305.24/x
  3. Step 3: Cross multiply
    8,002.89x = 12,008.94 × 4,305.24
  4. Step 4: Simplify right side
    8,002.89x = 51,701,368.85
  5. Step 5: Solve for x
    x = 51,701,368.85/8,002.89
  6. Step 6: Final answer
    x = 6,460.34

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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.