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Finding the Fourth Proportional to 11,886.17, 16,403.16 and 6,508.83

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Solution

The fourth proportional to 11,886.17, 16,403.16 and 6,508.83 is: 8,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.17 : 16,403.16 = 6,508.83 : x
  2. Step 2: Convert to fraction form
    11,886.17/16,403.16 = 6,508.83/x
  3. Step 3: Cross multiply
    11,886.17x = 16,403.16 × 6,508.83
  4. Step 4: Simplify right side
    11,886.17x = 106,765,293.98
  5. Step 5: Solve for x
    x = 106,765,293.98/11,886.17
  6. Step 6: Final answer
    x = 8,982.32

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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.