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Finding the Fourth Proportional to 7,830.99, 10,806.26 and 4,293.50

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Solution

The fourth proportional to 7,830.99, 10,806.26 and 4,293.50 is: 5,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.99 : 10,806.26 = 4,293.50 : x
  2. Step 2: Convert to fraction form
    7,830.99/10,806.26 = 4,293.50/x
  3. Step 3: Cross multiply
    7,830.99x = 10,806.26 × 4,293.50
  4. Step 4: Simplify right side
    7,830.99x = 46,396,601.81
  5. Step 5: Solve for x
    x = 46,396,601.81/7,830.99
  6. Step 6: Final answer
    x = 5,924.74

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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.