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Finding the Fourth Proportional to 8,538.06, 12,807.03 and 2,382.06

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Solution

The fourth proportional to 8,538.06, 12,807.03 and 2,382.06 is: 3,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.06 : 12,807.03 = 2,382.06 : x
  2. Step 2: Convert to fraction form
    8,538.06/12,807.03 = 2,382.06/x
  3. Step 3: Cross multiply
    8,538.06x = 12,807.03 × 2,382.06
  4. Step 4: Simplify right side
    8,538.06x = 30,507,113.88
  5. Step 5: Solve for x
    x = 30,507,113.88/8,538.06
  6. Step 6: Final answer
    x = 3,573.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.