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Finding the Fourth Proportional to 7,829.73, 10,805.54 and 4,427.60

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Solution

The fourth proportional to 7,829.73, 10,805.54 and 4,427.60 is: 6,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.73 : 10,805.54 = 4,427.60 : x
  2. Step 2: Convert to fraction form
    7,829.73/10,805.54 = 4,427.60/x
  3. Step 3: Cross multiply
    7,829.73x = 10,805.54 × 4,427.60
  4. Step 4: Simplify right side
    7,829.73x = 47,842,532.74
  5. Step 5: Solve for x
    x = 47,842,532.74/7,829.73
  6. Step 6: Final answer
    x = 6,110.37

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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.