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Finding the Fourth Proportional to 7,525.65, 11,305.77 and 5,309.58

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Solution

The fourth proportional to 7,525.65, 11,305.77 and 5,309.58 is: 7,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.65 : 11,305.77 = 5,309.58 : x
  2. Step 2: Convert to fraction form
    7,525.65/11,305.77 = 5,309.58/x
  3. Step 3: Cross multiply
    7,525.65x = 11,305.77 × 5,309.58
  4. Step 4: Simplify right side
    7,525.65x = 60,028,890.28
  5. Step 5: Solve for x
    x = 60,028,890.28/7,525.65
  6. Step 6: Final answer
    x = 7,976.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.