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Finding the Fourth Proportional to 7,525.81, 11,290.22 and 5,186.93

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Solution

The fourth proportional to 7,525.81, 11,290.22 and 5,186.93 is: 7,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.81 : 11,290.22 = 5,186.93 : x
  2. Step 2: Convert to fraction form
    7,525.81/11,290.22 = 5,186.93/x
  3. Step 3: Cross multiply
    7,525.81x = 11,290.22 × 5,186.93
  4. Step 4: Simplify right side
    7,525.81x = 58,561,580.82
  5. Step 5: Solve for x
    x = 58,561,580.82/7,525.81
  6. Step 6: Final answer
    x = 7,781.43

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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.