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Finding the Fourth Proportional to 10,674.12, 16,002.08 and 4,095.72

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Solution

The fourth proportional to 10,674.12, 16,002.08 and 4,095.72 is: 6,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.12 : 16,002.08 = 4,095.72 : x
  2. Step 2: Convert to fraction form
    10,674.12/16,002.08 = 4,095.72/x
  3. Step 3: Cross multiply
    10,674.12x = 16,002.08 × 4,095.72
  4. Step 4: Simplify right side
    10,674.12x = 65,540,039.10
  5. Step 5: Solve for x
    x = 65,540,039.10/10,674.12
  6. Step 6: Final answer
    x = 6,140.09

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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.