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Finding the Fourth Proportional to 8,534.15, 12,847.33 and 7,675.89

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Solution

The fourth proportional to 8,534.15, 12,847.33 and 7,675.89 is: 11,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.15 : 12,847.33 = 7,675.89 : x
  2. Step 2: Convert to fraction form
    8,534.15/12,847.33 = 7,675.89/x
  3. Step 3: Cross multiply
    8,534.15x = 12,847.33 × 7,675.89
  4. Step 4: Simplify right side
    8,534.15x = 98,614,650.16
  5. Step 5: Solve for x
    x = 98,614,650.16/8,534.15
  6. Step 6: Final answer
    x = 11,555.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.