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Finding the Fourth Proportional to 12,862.82, 17,745.06 and 7,555.25

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Solution

The fourth proportional to 12,862.82, 17,745.06 and 7,555.25 is: 10,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.82 : 17,745.06 = 7,555.25 : x
  2. Step 2: Convert to fraction form
    12,862.82/17,745.06 = 7,555.25/x
  3. Step 3: Cross multiply
    12,862.82x = 17,745.06 × 7,555.25
  4. Step 4: Simplify right side
    12,862.82x = 134,068,275.84
  5. Step 5: Solve for x
    x = 134,068,275.84/12,862.82
  6. Step 6: Final answer
    x = 10,422.93

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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.