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Finding the Fourth Proportional to 10,067.76, 13,893.63 and 5,875.98

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Solution

The fourth proportional to 10,067.76, 13,893.63 and 5,875.98 is: 8,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.76 : 13,893.63 = 5,875.98 : x
  2. Step 2: Convert to fraction form
    10,067.76/13,893.63 = 5,875.98/x
  3. Step 3: Cross multiply
    10,067.76x = 13,893.63 × 5,875.98
  4. Step 4: Simplify right side
    10,067.76x = 81,638,692.01
  5. Step 5: Solve for x
    x = 81,638,692.01/10,067.76
  6. Step 6: Final answer
    x = 8,108.92

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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.