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Finding the Fourth Proportional to 12,784.58, 17,638.04 and 7,745.17

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Solution

The fourth proportional to 12,784.58, 17,638.04 and 7,745.17 is: 10,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.58 : 17,638.04 = 7,745.17 : x
  2. Step 2: Convert to fraction form
    12,784.58/17,638.04 = 7,745.17/x
  3. Step 3: Cross multiply
    12,784.58x = 17,638.04 × 7,745.17
  4. Step 4: Simplify right side
    12,784.58x = 136,609,535.45
  5. Step 5: Solve for x
    x = 136,609,535.45/12,784.58
  6. Step 6: Final answer
    x = 10,685.49

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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.