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Finding the Fourth Proportional to 8,573.40, 12,864.34 and 4,190.76

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Solution

The fourth proportional to 8,573.40, 12,864.34 and 4,190.76 is: 6,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.40 : 12,864.34 = 4,190.76 : x
  2. Step 2: Convert to fraction form
    8,573.40/12,864.34 = 4,190.76/x
  3. Step 3: Cross multiply
    8,573.40x = 12,864.34 × 4,190.76
  4. Step 4: Simplify right side
    8,573.40x = 53,911,361.50
  5. Step 5: Solve for x
    x = 53,911,361.50/8,573.40
  6. Step 6: Final answer
    x = 6,288.21

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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.