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Finding the Fourth Proportional to 8,528.64, 12,796.38 and 4,145.64

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Solution

The fourth proportional to 8,528.64, 12,796.38 and 4,145.64 is: 6,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.64 : 12,796.38 = 4,145.64 : x
  2. Step 2: Convert to fraction form
    8,528.64/12,796.38 = 4,145.64/x
  3. Step 3: Cross multiply
    8,528.64x = 12,796.38 × 4,145.64
  4. Step 4: Simplify right side
    8,528.64x = 53,049,184.78
  5. Step 5: Solve for x
    x = 53,049,184.78/8,528.64
  6. Step 6: Final answer
    x = 6,220.12

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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.