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Finding the Fourth Proportional to 8,141, 12,211.58 and 1,985

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Solution

The fourth proportional to 8,141, 12,211.58 and 1,985 is: 2,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141 : 12,211.58 = 1,985 : x
  2. Step 2: Convert to fraction form
    8,141/12,211.58 = 1,985/x
  3. Step 3: Cross multiply
    8,141x = 12,211.58 × 1,985
  4. Step 4: Simplify right side
    8,141x = 24,239,986.30
  5. Step 5: Solve for x
    x = 24,239,986.30/8,141
  6. Step 6: Final answer
    x = 2,977.52

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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.