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Finding the Fourth Proportional to 12,893.75, 19,342.47 and 4,891.46

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Solution

The fourth proportional to 12,893.75, 19,342.47 and 4,891.46 is: 7,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.75 : 19,342.47 = 4,891.46 : x
  2. Step 2: Convert to fraction form
    12,893.75/19,342.47 = 4,891.46/x
  3. Step 3: Cross multiply
    12,893.75x = 19,342.47 × 4,891.46
  4. Step 4: Simplify right side
    12,893.75x = 94,612,918.31
  5. Step 5: Solve for x
    x = 94,612,918.31/12,893.75
  6. Step 6: Final answer
    x = 7,337.89

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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.