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Finding the Fourth Proportional to 7,709.12, 11,564.88 and 2,513.78

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Solution

The fourth proportional to 7,709.12, 11,564.88 and 2,513.78 is: 3,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.12 : 11,564.88 = 2,513.78 : x
  2. Step 2: Convert to fraction form
    7,709.12/11,564.88 = 2,513.78/x
  3. Step 3: Cross multiply
    7,709.12x = 11,564.88 × 2,513.78
  4. Step 4: Simplify right side
    7,709.12x = 29,071,564.05
  5. Step 5: Solve for x
    x = 29,071,564.05/7,709.12
  6. Step 6: Final answer
    x = 3,771.06

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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.