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Finding the Fourth Proportional to 11,325.90, 16,956 and 6,929.94

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Solution

The fourth proportional to 11,325.90, 16,956 and 6,929.94 is: 10,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325.90 : 16,956 = 6,929.94 : x
  2. Step 2: Convert to fraction form
    11,325.90/16,956 = 6,929.94/x
  3. Step 3: Cross multiply
    11,325.90x = 16,956 × 6,929.94
  4. Step 4: Simplify right side
    11,325.90x = 117,504,062.64
  5. Step 5: Solve for x
    x = 117,504,062.64/11,325.90
  6. Step 6: Final answer
    x = 10,374.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.