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Finding the Fourth Proportional to 7,806.15, 10,765.27 and 5,291.91

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Solution

The fourth proportional to 7,806.15, 10,765.27 and 5,291.91 is: 7,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.15 : 10,765.27 = 5,291.91 : x
  2. Step 2: Convert to fraction form
    7,806.15/10,765.27 = 5,291.91/x
  3. Step 3: Cross multiply
    7,806.15x = 10,765.27 × 5,291.91
  4. Step 4: Simplify right side
    7,806.15x = 56,968,846.58
  5. Step 5: Solve for x
    x = 56,968,846.58/7,806.15
  6. Step 6: Final answer
    x = 7,297.94

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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.