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Finding the Fourth Proportional to 7,802.37, 11,704.29 and 2,872.11

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Solution

The fourth proportional to 7,802.37, 11,704.29 and 2,872.11 is: 4,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.37 : 11,704.29 = 2,872.11 : x
  2. Step 2: Convert to fraction form
    7,802.37/11,704.29 = 2,872.11/x
  3. Step 3: Cross multiply
    7,802.37x = 11,704.29 × 2,872.11
  4. Step 4: Simplify right side
    7,802.37x = 33,616,008.35
  5. Step 5: Solve for x
    x = 33,616,008.35/7,802.37
  6. Step 6: Final answer
    x = 4,308.44

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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.