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Finding the Fourth Proportional to 7,840.36, 11,752.32 and 3,676.87

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Solution

The fourth proportional to 7,840.36, 11,752.32 and 3,676.87 is: 5,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.36 : 11,752.32 = 3,676.87 : x
  2. Step 2: Convert to fraction form
    7,840.36/11,752.32 = 3,676.87/x
  3. Step 3: Cross multiply
    7,840.36x = 11,752.32 × 3,676.87
  4. Step 4: Simplify right side
    7,840.36x = 43,211,752.84
  5. Step 5: Solve for x
    x = 43,211,752.84/7,840.36
  6. Step 6: Final answer
    x = 5,511.45

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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.