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Finding the Fourth Proportional to 12,862.78, 17,751.51 and 7,198.06

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Solution

The fourth proportional to 12,862.78, 17,751.51 and 7,198.06 is: 9,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.78 : 17,751.51 = 7,198.06 : x
  2. Step 2: Convert to fraction form
    12,862.78/17,751.51 = 7,198.06/x
  3. Step 3: Cross multiply
    12,862.78x = 17,751.51 × 7,198.06
  4. Step 4: Simplify right side
    12,862.78x = 127,776,434.07
  5. Step 5: Solve for x
    x = 127,776,434.07/12,862.78
  6. Step 6: Final answer
    x = 9,933.81

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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.