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Finding the Fourth Proportional to 7,965.81, 10,993.91 and 4,823.01

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Solution

The fourth proportional to 7,965.81, 10,993.91 and 4,823.01 is: 6,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.81 : 10,993.91 = 4,823.01 : x
  2. Step 2: Convert to fraction form
    7,965.81/10,993.91 = 4,823.01/x
  3. Step 3: Cross multiply
    7,965.81x = 10,993.91 × 4,823.01
  4. Step 4: Simplify right side
    7,965.81x = 53,023,713.75
  5. Step 5: Solve for x
    x = 53,023,713.75/7,965.81
  6. Step 6: Final answer
    x = 6,656.41

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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.