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Finding the Fourth Proportional to 11,883.80, 16,399.84 and 6,506.15

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Solution

The fourth proportional to 11,883.80, 16,399.84 and 6,506.15 is: 8,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.80 : 16,399.84 = 6,506.15 : x
  2. Step 2: Convert to fraction form
    11,883.80/16,399.84 = 6,506.15/x
  3. Step 3: Cross multiply
    11,883.80x = 16,399.84 × 6,506.15
  4. Step 4: Simplify right side
    11,883.80x = 106,699,746.86
  5. Step 5: Solve for x
    x = 106,699,746.86/11,883.80
  6. Step 6: Final answer
    x = 8,978.59

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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.