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Finding the Fourth Proportional to 8,694.16, 13,041.24 and 2,538.16

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Solution

The fourth proportional to 8,694.16, 13,041.24 and 2,538.16 is: 3,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.16 : 13,041.24 = 2,538.16 : x
  2. Step 2: Convert to fraction form
    8,694.16/13,041.24 = 2,538.16/x
  3. Step 3: Cross multiply
    8,694.16x = 13,041.24 × 2,538.16
  4. Step 4: Simplify right side
    8,694.16x = 33,100,753.72
  5. Step 5: Solve for x
    x = 33,100,753.72/8,694.16
  6. Step 6: Final answer
    x = 3,807.24

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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.