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Finding the Fourth Proportional to 12,525.77, 17,297.27 and 8,057.28

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Solution

The fourth proportional to 12,525.77, 17,297.27 and 8,057.28 is: 11,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.77 : 17,297.27 = 8,057.28 : x
  2. Step 2: Convert to fraction form
    12,525.77/17,297.27 = 8,057.28/x
  3. Step 3: Cross multiply
    12,525.77x = 17,297.27 × 8,057.28
  4. Step 4: Simplify right side
    12,525.77x = 139,368,907.34
  5. Step 5: Solve for x
    x = 139,368,907.34/12,525.77
  6. Step 6: Final answer
    x = 11,126.58

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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.