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Finding the Fourth Proportional to 10,795.75, 14,905.49 and 6,764.24

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Solution

The fourth proportional to 10,795.75, 14,905.49 and 6,764.24 is: 9,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.75 : 14,905.49 = 6,764.24 : x
  2. Step 2: Convert to fraction form
    10,795.75/14,905.49 = 6,764.24/x
  3. Step 3: Cross multiply
    10,795.75x = 14,905.49 × 6,764.24
  4. Step 4: Simplify right side
    10,795.75x = 100,824,315.12
  5. Step 5: Solve for x
    x = 100,824,315.12/10,795.75
  6. Step 6: Final answer
    x = 9,339.26

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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.