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Finding the Fourth Proportional to 7,845.56, 10,824.36 and 7,097.12

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Solution

The fourth proportional to 7,845.56, 10,824.36 and 7,097.12 is: 9,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.56 : 10,824.36 = 7,097.12 : x
  2. Step 2: Convert to fraction form
    7,845.56/10,824.36 = 7,097.12/x
  3. Step 3: Cross multiply
    7,845.56x = 10,824.36 × 7,097.12
  4. Step 4: Simplify right side
    7,845.56x = 76,821,781.84
  5. Step 5: Solve for x
    x = 76,821,781.84/7,845.56
  6. Step 6: Final answer
    x = 9,791.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.