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Finding the Fourth Proportional to 12,745.84, 17,588.68 and 7,080.96

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Solution

The fourth proportional to 12,745.84, 17,588.68 and 7,080.96 is: 9,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.84 : 17,588.68 = 7,080.96 : x
  2. Step 2: Convert to fraction form
    12,745.84/17,588.68 = 7,080.96/x
  3. Step 3: Cross multiply
    12,745.84x = 17,588.68 × 7,080.96
  4. Step 4: Simplify right side
    12,745.84x = 124,544,739.53
  5. Step 5: Solve for x
    x = 124,544,739.53/12,745.84
  6. Step 6: Final answer
    x = 9,771.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.