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Finding the Fourth Proportional to 11,466.72, 15,825.12 and 6,990.72

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Solution

The fourth proportional to 11,466.72, 15,825.12 and 6,990.72 is: 9,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.72 : 15,825.12 = 6,990.72 : x
  2. Step 2: Convert to fraction form
    11,466.72/15,825.12 = 6,990.72/x
  3. Step 3: Cross multiply
    11,466.72x = 15,825.12 × 6,990.72
  4. Step 4: Simplify right side
    11,466.72x = 110,628,982.89
  5. Step 5: Solve for x
    x = 110,628,982.89/11,466.72
  6. Step 6: Final answer
    x = 9,647.83

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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.