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Finding the Fourth Proportional to 11,914.76, 16,438.64 and 6,878.32

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Solution

The fourth proportional to 11,914.76, 16,438.64 and 6,878.32 is: 9,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.76 : 16,438.64 = 6,878.32 : x
  2. Step 2: Convert to fraction form
    11,914.76/16,438.64 = 6,878.32/x
  3. Step 3: Cross multiply
    11,914.76x = 16,438.64 × 6,878.32
  4. Step 4: Simplify right side
    11,914.76x = 113,070,226.28
  5. Step 5: Solve for x
    x = 113,070,226.28/11,914.76
  6. Step 6: Final answer
    x = 9,489.93

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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.