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Finding the Fourth Proportional to 8,428.55, 11,635.77 and 6,157.34

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Solution

The fourth proportional to 8,428.55, 11,635.77 and 6,157.34 is: 8,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.55 : 11,635.77 = 6,157.34 : x
  2. Step 2: Convert to fraction form
    8,428.55/11,635.77 = 6,157.34/x
  3. Step 3: Cross multiply
    8,428.55x = 11,635.77 × 6,157.34
  4. Step 4: Simplify right side
    8,428.55x = 71,645,315.92
  5. Step 5: Solve for x
    x = 71,645,315.92/8,428.55
  6. Step 6: Final answer
    x = 8,500.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.