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Finding the Fourth Proportional to 8,647, 11,933.22 and 5,113.24

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Solution

The fourth proportional to 8,647, 11,933.22 and 5,113.24 is: 7,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647 : 11,933.22 = 5,113.24 : x
  2. Step 2: Convert to fraction form
    8,647/11,933.22 = 5,113.24/x
  3. Step 3: Cross multiply
    8,647x = 11,933.22 × 5,113.24
  4. Step 4: Simplify right side
    8,647x = 61,017,417.83
  5. Step 5: Solve for x
    x = 61,017,417.83/8,647
  6. Step 6: Final answer
    x = 7,056.48

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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.