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Finding the Fourth Proportional to 6,521.13, 8,995.32 and 4,164.44

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Solution

The fourth proportional to 6,521.13, 8,995.32 and 4,164.44 is: 5,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.13 : 8,995.32 = 4,164.44 : x
  2. Step 2: Convert to fraction form
    6,521.13/8,995.32 = 4,164.44/x
  3. Step 3: Cross multiply
    6,521.13x = 8,995.32 × 4,164.44
  4. Step 4: Simplify right side
    6,521.13x = 37,460,425.44
  5. Step 5: Solve for x
    x = 37,460,425.44/6,521.13
  6. Step 6: Final answer
    x = 5,744.47

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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.