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Finding the Fourth Proportional to 10,849.54, 14,985.39 and 8,195.98

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Solution

The fourth proportional to 10,849.54, 14,985.39 and 8,195.98 is: 11,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.54 : 14,985.39 = 8,195.98 : x
  2. Step 2: Convert to fraction form
    10,849.54/14,985.39 = 8,195.98/x
  3. Step 3: Cross multiply
    10,849.54x = 14,985.39 × 8,195.98
  4. Step 4: Simplify right side
    10,849.54x = 122,819,956.73
  5. Step 5: Solve for x
    x = 122,819,956.73/10,849.54
  6. Step 6: Final answer
    x = 11,320.29

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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.