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Finding the Fourth Proportional to 8,525.49, 11,762.06 and 5,165.88

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Solution

The fourth proportional to 8,525.49, 11,762.06 and 5,165.88 is: 7,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.49 : 11,762.06 = 5,165.88 : x
  2. Step 2: Convert to fraction form
    8,525.49/11,762.06 = 5,165.88/x
  3. Step 3: Cross multiply
    8,525.49x = 11,762.06 × 5,165.88
  4. Step 4: Simplify right side
    8,525.49x = 60,761,364.68
  5. Step 5: Solve for x
    x = 60,761,364.68/8,525.49
  6. Step 6: Final answer
    x = 7,127.02

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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.