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Finding the Fourth Proportional to 10,464.76, 15,694.29 and 4,138.63

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Solution

The fourth proportional to 10,464.76, 15,694.29 and 4,138.63 is: 6,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.76 : 15,694.29 = 4,138.63 : x
  2. Step 2: Convert to fraction form
    10,464.76/15,694.29 = 4,138.63/x
  3. Step 3: Cross multiply
    10,464.76x = 15,694.29 × 4,138.63
  4. Step 4: Simplify right side
    10,464.76x = 64,952,820.19
  5. Step 5: Solve for x
    x = 64,952,820.19/10,464.76
  6. Step 6: Final answer
    x = 6,206.81

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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.