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Finding the Fourth Proportional to 11,779.42, 17,671.72 and 6,522.08

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Solution

The fourth proportional to 11,779.42, 17,671.72 and 6,522.08 is: 9,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.42 : 17,671.72 = 6,522.08 : x
  2. Step 2: Convert to fraction form
    11,779.42/17,671.72 = 6,522.08/x
  3. Step 3: Cross multiply
    11,779.42x = 17,671.72 × 6,522.08
  4. Step 4: Simplify right side
    11,779.42x = 115,256,371.58
  5. Step 5: Solve for x
    x = 115,256,371.58/11,779.42
  6. Step 6: Final answer
    x = 9,784.55

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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.