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Finding the Fourth Proportional to 7,656.36, 11,482.89 and 2,109.12

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Solution

The fourth proportional to 7,656.36, 11,482.89 and 2,109.12 is: 3,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.36 : 11,482.89 = 2,109.12 : x
  2. Step 2: Convert to fraction form
    7,656.36/11,482.89 = 2,109.12/x
  3. Step 3: Cross multiply
    7,656.36x = 11,482.89 × 2,109.12
  4. Step 4: Simplify right side
    7,656.36x = 24,218,792.96
  5. Step 5: Solve for x
    x = 24,218,792.96/7,656.36
  6. Step 6: Final answer
    x = 3,163.23

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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.