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Finding the Fourth Proportional to 12,682.08, 17,501.14 and 7,093.08

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Solution

The fourth proportional to 12,682.08, 17,501.14 and 7,093.08 is: 9,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.08 : 17,501.14 = 7,093.08 : x
  2. Step 2: Convert to fraction form
    12,682.08/17,501.14 = 7,093.08/x
  3. Step 3: Cross multiply
    12,682.08x = 17,501.14 × 7,093.08
  4. Step 4: Simplify right side
    12,682.08x = 124,136,986.11
  5. Step 5: Solve for x
    x = 124,136,986.11/12,682.08
  6. Step 6: Final answer
    x = 9,788.38

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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.