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Finding the Fourth Proportional to 7,805.29, 10,771.59 and 4,448.62

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Solution

The fourth proportional to 7,805.29, 10,771.59 and 4,448.62 is: 6,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.29 : 10,771.59 = 4,448.62 : x
  2. Step 2: Convert to fraction form
    7,805.29/10,771.59 = 4,448.62/x
  3. Step 3: Cross multiply
    7,805.29x = 10,771.59 × 4,448.62
  4. Step 4: Simplify right side
    7,805.29x = 47,918,656.85
  5. Step 5: Solve for x
    x = 47,918,656.85/7,805.29
  6. Step 6: Final answer
    x = 6,139.26

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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.