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Finding the Fourth Proportional to 12,111.80, 18,167.70 and 5,852.78

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Solution

The fourth proportional to 12,111.80, 18,167.70 and 5,852.78 is: 8,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.80 : 18,167.70 = 5,852.78 : x
  2. Step 2: Convert to fraction form
    12,111.80/18,167.70 = 5,852.78/x
  3. Step 3: Cross multiply
    12,111.80x = 18,167.70 × 5,852.78
  4. Step 4: Simplify right side
    12,111.80x = 106,331,551.21
  5. Step 5: Solve for x
    x = 106,331,551.21/12,111.80
  6. Step 6: Final answer
    x = 8,779.17

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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.