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Finding the Fourth Proportional to 11,571.04, 15,967.44 and 6,465.65

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Solution

The fourth proportional to 11,571.04, 15,967.44 and 6,465.65 is: 8,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.04 : 15,967.44 = 6,465.65 : x
  2. Step 2: Convert to fraction form
    11,571.04/15,967.44 = 6,465.65/x
  3. Step 3: Cross multiply
    11,571.04x = 15,967.44 × 6,465.65
  4. Step 4: Simplify right side
    11,571.04x = 103,239,878.44
  5. Step 5: Solve for x
    x = 103,239,878.44/11,571.04
  6. Step 6: Final answer
    x = 8,922.27

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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.