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Finding the Fourth Proportional to 7,907.36, 11,847 and 4,617.68

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Solution

The fourth proportional to 7,907.36, 11,847 and 4,617.68 is: 6,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.36 : 11,847 = 4,617.68 : x
  2. Step 2: Convert to fraction form
    7,907.36/11,847 = 4,617.68/x
  3. Step 3: Cross multiply
    7,907.36x = 11,847 × 4,617.68
  4. Step 4: Simplify right side
    7,907.36x = 54,705,654.96
  5. Step 5: Solve for x
    x = 54,705,654.96/7,907.36
  6. Step 6: Final answer
    x = 6,918.32

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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.