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Finding the Fourth Proportional to 11,852.68, 17,779.94 and 3,532.06

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Solution

The fourth proportional to 11,852.68, 17,779.94 and 3,532.06 is: 5,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.68 : 17,779.94 = 3,532.06 : x
  2. Step 2: Convert to fraction form
    11,852.68/17,779.94 = 3,532.06/x
  3. Step 3: Cross multiply
    11,852.68x = 17,779.94 × 3,532.06
  4. Step 4: Simplify right side
    11,852.68x = 62,799,814.88
  5. Step 5: Solve for x
    x = 62,799,814.88/11,852.68
  6. Step 6: Final answer
    x = 5,298.36

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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.