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Finding the Fourth Proportional to 7,673.07, 11,507.88 and 2,993.22

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Solution

The fourth proportional to 7,673.07, 11,507.88 and 2,993.22 is: 4,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.07 : 11,507.88 = 2,993.22 : x
  2. Step 2: Convert to fraction form
    7,673.07/11,507.88 = 2,993.22/x
  3. Step 3: Cross multiply
    7,673.07x = 11,507.88 × 2,993.22
  4. Step 4: Simplify right side
    7,673.07x = 34,445,616.57
  5. Step 5: Solve for x
    x = 34,445,616.57/7,673.07
  6. Step 6: Final answer
    x = 4,489.16

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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.