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Finding the Fourth Proportional to 11,441.45, 15,784.47 and 6,964.58

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Solution

The fourth proportional to 11,441.45, 15,784.47 and 6,964.58 is: 9,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.45 : 15,784.47 = 6,964.58 : x
  2. Step 2: Convert to fraction form
    11,441.45/15,784.47 = 6,964.58/x
  3. Step 3: Cross multiply
    11,441.45x = 15,784.47 × 6,964.58
  4. Step 4: Simplify right side
    11,441.45x = 109,932,243.53
  5. Step 5: Solve for x
    x = 109,932,243.53/11,441.45
  6. Step 6: Final answer
    x = 9,608.24

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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.