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Finding the Fourth Proportional to 11,853.10, 17,779.64 and 3,532.90

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Solution

The fourth proportional to 11,853.10, 17,779.64 and 3,532.90 is: 5,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.10 : 17,779.64 = 3,532.90 : x
  2. Step 2: Convert to fraction form
    11,853.10/17,779.64 = 3,532.90/x
  3. Step 3: Cross multiply
    11,853.10x = 17,779.64 × 3,532.90
  4. Step 4: Simplify right side
    11,853.10x = 62,813,690.16
  5. Step 5: Solve for x
    x = 62,813,690.16/11,853.10
  6. Step 6: Final answer
    x = 5,299.35

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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.