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Finding the Fourth Proportional to 8,670.49, 13,005.74 and 2,096.68

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Solution

The fourth proportional to 8,670.49, 13,005.74 and 2,096.68 is: 3,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.49 : 13,005.74 = 2,096.68 : x
  2. Step 2: Convert to fraction form
    8,670.49/13,005.74 = 2,096.68/x
  3. Step 3: Cross multiply
    8,670.49x = 13,005.74 × 2,096.68
  4. Step 4: Simplify right side
    8,670.49x = 27,268,874.94
  5. Step 5: Solve for x
    x = 27,268,874.94/8,670.49
  6. Step 6: Final answer
    x = 3,145.02

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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.