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Finding the Fourth Proportional to 8,686.83, 11,987.10 and 4,910.32

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Solution

The fourth proportional to 8,686.83, 11,987.10 and 4,910.32 is: 6,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.83 : 11,987.10 = 4,910.32 : x
  2. Step 2: Convert to fraction form
    8,686.83/11,987.10 = 4,910.32/x
  3. Step 3: Cross multiply
    8,686.83x = 11,987.10 × 4,910.32
  4. Step 4: Simplify right side
    8,686.83x = 58,860,496.87
  5. Step 5: Solve for x
    x = 58,860,496.87/8,686.83
  6. Step 6: Final answer
    x = 6,775.83

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