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Finding the Fourth Proportional to 7,805.99, 10,771.80 and 4,448.77

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Solution

The fourth proportional to 7,805.99, 10,771.80 and 4,448.77 is: 6,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.99 : 10,771.80 = 4,448.77 : x
  2. Step 2: Convert to fraction form
    7,805.99/10,771.80 = 4,448.77/x
  3. Step 3: Cross multiply
    7,805.99x = 10,771.80 × 4,448.77
  4. Step 4: Simplify right side
    7,805.99x = 47,921,302.69
  5. Step 5: Solve for x
    x = 47,921,302.69/7,805.99
  6. Step 6: Final answer
    x = 6,139.04

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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.