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Finding the Fourth Proportional to 11,916.60, 16,447.31 and 6,881.64

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Solution

The fourth proportional to 11,916.60, 16,447.31 and 6,881.64 is: 9,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.60 : 16,447.31 = 6,881.64 : x
  2. Step 2: Convert to fraction form
    11,916.60/16,447.31 = 6,881.64/x
  3. Step 3: Cross multiply
    11,916.60x = 16,447.31 × 6,881.64
  4. Step 4: Simplify right side
    11,916.60x = 113,184,473.10
  5. Step 5: Solve for x
    x = 113,184,473.10/11,916.60
  6. Step 6: Final answer
    x = 9,498.05

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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.