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Finding the Fourth Proportional to 11,779.57, 17,677.44 and 4,854.07

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Solution

The fourth proportional to 11,779.57, 17,677.44 and 4,854.07 is: 7,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.57 : 17,677.44 = 4,854.07 : x
  2. Step 2: Convert to fraction form
    11,779.57/17,677.44 = 4,854.07/x
  3. Step 3: Cross multiply
    11,779.57x = 17,677.44 × 4,854.07
  4. Step 4: Simplify right side
    11,779.57x = 85,807,531.18
  5. Step 5: Solve for x
    x = 85,807,531.18/11,779.57
  6. Step 6: Final answer
    x = 7,284.44

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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.