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Finding the Fourth Proportional to 11,886.77, 16,403.99 and 6,509.43

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Solution

The fourth proportional to 11,886.77, 16,403.99 and 6,509.43 is: 8,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.77 : 16,403.99 = 6,509.43 : x
  2. Step 2: Convert to fraction form
    11,886.77/16,403.99 = 6,509.43/x
  3. Step 3: Cross multiply
    11,886.77x = 16,403.99 × 6,509.43
  4. Step 4: Simplify right side
    11,886.77x = 106,780,624.63
  5. Step 5: Solve for x
    x = 106,780,624.63/11,886.77
  6. Step 6: Final answer
    x = 8,983.15

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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.