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Finding the Fourth Proportional to 11,779.32, 17,658 and 3,982.72

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Solution

The fourth proportional to 11,779.32, 17,658 and 3,982.72 is: 5,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.32 : 17,658 = 3,982.72 : x
  2. Step 2: Convert to fraction form
    11,779.32/17,658 = 3,982.72/x
  3. Step 3: Cross multiply
    11,779.32x = 17,658 × 3,982.72
  4. Step 4: Simplify right side
    11,779.32x = 70,326,869.76
  5. Step 5: Solve for x
    x = 70,326,869.76/11,779.32
  6. Step 6: Final answer
    x = 5,970.37

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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.