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Finding the Fourth Proportional to 11,673.76, 16,094.88 and 6,956.32

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Solution

The fourth proportional to 11,673.76, 16,094.88 and 6,956.32 is: 9,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.76 : 16,094.88 = 6,956.32 : x
  2. Step 2: Convert to fraction form
    11,673.76/16,094.88 = 6,956.32/x
  3. Step 3: Cross multiply
    11,673.76x = 16,094.88 × 6,956.32
  4. Step 4: Simplify right side
    11,673.76x = 111,961,135.64
  5. Step 5: Solve for x
    x = 111,961,135.64/11,673.76
  6. Step 6: Final answer
    x = 9,590.84

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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.