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Finding the Fourth Proportional to 8,500.95, 12,738.43 and 5,717.32

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Solution

The fourth proportional to 8,500.95, 12,738.43 and 5,717.32 is: 8,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.95 : 12,738.43 = 5,717.32 : x
  2. Step 2: Convert to fraction form
    8,500.95/12,738.43 = 5,717.32/x
  3. Step 3: Cross multiply
    8,500.95x = 12,738.43 × 5,717.32
  4. Step 4: Simplify right side
    8,500.95x = 72,829,655.91
  5. Step 5: Solve for x
    x = 72,829,655.91/8,500.95
  6. Step 6: Final answer
    x = 8,567.24

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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.