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Finding the Fourth Proportional to 10,707.68, 16,052.30 and 4,138.49

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Solution

The fourth proportional to 10,707.68, 16,052.30 and 4,138.49 is: 6,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.68 : 16,052.30 = 4,138.49 : x
  2. Step 2: Convert to fraction form
    10,707.68/16,052.30 = 4,138.49/x
  3. Step 3: Cross multiply
    10,707.68x = 16,052.30 × 4,138.49
  4. Step 4: Simplify right side
    10,707.68x = 66,432,182.07
  5. Step 5: Solve for x
    x = 66,432,182.07/10,707.68
  6. Step 6: Final answer
    x = 6,204.16

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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.