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Finding the Fourth Proportional to 7,904.67, 11,847.88 and 2,971.16

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Solution

The fourth proportional to 7,904.67, 11,847.88 and 2,971.16 is: 4,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.67 : 11,847.88 = 2,971.16 : x
  2. Step 2: Convert to fraction form
    7,904.67/11,847.88 = 2,971.16/x
  3. Step 3: Cross multiply
    7,904.67x = 11,847.88 × 2,971.16
  4. Step 4: Simplify right side
    7,904.67x = 35,201,947.14
  5. Step 5: Solve for x
    x = 35,201,947.14/7,904.67
  6. Step 6: Final answer
    x = 4,453.31

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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.