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Finding the Fourth Proportional to 10,338.64, 15,507.94 and 3,042.64

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Solution

The fourth proportional to 10,338.64, 15,507.94 and 3,042.64 is: 4,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.64 : 15,507.94 = 3,042.64 : x
  2. Step 2: Convert to fraction form
    10,338.64/15,507.94 = 3,042.64/x
  3. Step 3: Cross multiply
    10,338.64x = 15,507.94 × 3,042.64
  4. Step 4: Simplify right side
    10,338.64x = 47,185,078.56
  5. Step 5: Solve for x
    x = 47,185,078.56/10,338.64
  6. Step 6: Final answer
    x = 4,563.95

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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.