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Finding the Fourth Proportional to 8,485.43, 12,703.50 and 5,188.46

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Solution

The fourth proportional to 8,485.43, 12,703.50 and 5,188.46 is: 7,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.43 : 12,703.50 = 5,188.46 : x
  2. Step 2: Convert to fraction form
    8,485.43/12,703.50 = 5,188.46/x
  3. Step 3: Cross multiply
    8,485.43x = 12,703.50 × 5,188.46
  4. Step 4: Simplify right side
    8,485.43x = 65,911,538.09
  5. Step 5: Solve for x
    x = 65,911,538.09/8,485.43
  6. Step 6: Final answer
    x = 7,767.62

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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.