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Finding the Fourth Proportional to 12,703.05, 17,538.77 and 7,930.26

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Solution

The fourth proportional to 12,703.05, 17,538.77 and 7,930.26 is: 10,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.05 : 17,538.77 = 7,930.26 : x
  2. Step 2: Convert to fraction form
    12,703.05/17,538.77 = 7,930.26/x
  3. Step 3: Cross multiply
    12,703.05x = 17,538.77 × 7,930.26
  4. Step 4: Simplify right side
    12,703.05x = 139,086,966.53
  5. Step 5: Solve for x
    x = 139,086,966.53/12,703.05
  6. Step 6: Final answer
    x = 10,949.10

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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.