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Finding the Fourth Proportional to 8,123.51, 12,187.39 and 2,858.31

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Solution

The fourth proportional to 8,123.51, 12,187.39 and 2,858.31 is: 4,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.51 : 12,187.39 = 2,858.31 : x
  2. Step 2: Convert to fraction form
    8,123.51/12,187.39 = 2,858.31/x
  3. Step 3: Cross multiply
    8,123.51x = 12,187.39 × 2,858.31
  4. Step 4: Simplify right side
    8,123.51x = 34,835,270.63
  5. Step 5: Solve for x
    x = 34,835,270.63/8,123.51
  6. Step 6: Final answer
    x = 4,288.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.