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Finding the Fourth Proportional to 7,830.36, 10,805.81 and 4,293.50

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Solution

The fourth proportional to 7,830.36, 10,805.81 and 4,293.50 is: 5,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.36 : 10,805.81 = 4,293.50 : x
  2. Step 2: Convert to fraction form
    7,830.36/10,805.81 = 4,293.50/x
  3. Step 3: Cross multiply
    7,830.36x = 10,805.81 × 4,293.50
  4. Step 4: Simplify right side
    7,830.36x = 46,394,669.74
  5. Step 5: Solve for x
    x = 46,394,669.74/7,830.36
  6. Step 6: Final answer
    x = 5,924.97

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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.