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Finding the Fourth Proportional to 11,466.93, 15,824.52 and 6,928.98

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Solution

The fourth proportional to 11,466.93, 15,824.52 and 6,928.98 is: 9,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.93 : 15,824.52 = 6,928.98 : x
  2. Step 2: Convert to fraction form
    11,466.93/15,824.52 = 6,928.98/x
  3. Step 3: Cross multiply
    11,466.93x = 15,824.52 × 6,928.98
  4. Step 4: Simplify right side
    11,466.93x = 109,647,809.50
  5. Step 5: Solve for x
    x = 109,647,809.50/11,466.93
  6. Step 6: Final answer
    x = 9,562.09

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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.