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Finding the Fourth Proportional to 11,878.45, 16,392.02 and 6,500.86

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Solution

The fourth proportional to 11,878.45, 16,392.02 and 6,500.86 is: 8,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.45 : 16,392.02 = 6,500.86 : x
  2. Step 2: Convert to fraction form
    11,878.45/16,392.02 = 6,500.86/x
  3. Step 3: Cross multiply
    11,878.45x = 16,392.02 × 6,500.86
  4. Step 4: Simplify right side
    11,878.45x = 106,562,190.22
  5. Step 5: Solve for x
    x = 106,562,190.22/11,878.45
  6. Step 6: Final answer
    x = 8,971.05

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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.