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Finding the Fourth Proportional to 6,899.76, 10,349.64 and 3,828.24

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Solution

The fourth proportional to 6,899.76, 10,349.64 and 3,828.24 is: 5,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.76 : 10,349.64 = 3,828.24 : x
  2. Step 2: Convert to fraction form
    6,899.76/10,349.64 = 3,828.24/x
  3. Step 3: Cross multiply
    6,899.76x = 10,349.64 × 3,828.24
  4. Step 4: Simplify right side
    6,899.76x = 39,620,905.83
  5. Step 5: Solve for x
    x = 39,620,905.83/6,899.76
  6. Step 6: Final answer
    x = 5,742.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.