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Finding the Fourth Proportional to 8,686.78, 13,019.74 and 4,000.35

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Solution

The fourth proportional to 8,686.78, 13,019.74 and 4,000.35 is: 5,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.78 : 13,019.74 = 4,000.35 : x
  2. Step 2: Convert to fraction form
    8,686.78/13,019.74 = 4,000.35/x
  3. Step 3: Cross multiply
    8,686.78x = 13,019.74 × 4,000.35
  4. Step 4: Simplify right side
    8,686.78x = 52,083,555.73
  5. Step 5: Solve for x
    x = 52,083,555.73/8,686.78
  6. Step 6: Final answer
    x = 5,995.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.