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Finding the Fourth Proportional to 12,886.15, 17,782.89 and 7,850.37

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Solution

The fourth proportional to 12,886.15, 17,782.89 and 7,850.37 is: 10,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.15 : 17,782.89 = 7,850.37 : x
  2. Step 2: Convert to fraction form
    12,886.15/17,782.89 = 7,850.37/x
  3. Step 3: Cross multiply
    12,886.15x = 17,782.89 × 7,850.37
  4. Step 4: Simplify right side
    12,886.15x = 139,602,266.17
  5. Step 5: Solve for x
    x = 139,602,266.17/12,886.15
  6. Step 6: Final answer
    x = 10,833.51

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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.