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Finding the Fourth Proportional to 11,658.86, 17,492.61 and 5,422.22

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Solution

The fourth proportional to 11,658.86, 17,492.61 and 5,422.22 is: 8,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.86 : 17,492.61 = 5,422.22 : x
  2. Step 2: Convert to fraction form
    11,658.86/17,492.61 = 5,422.22/x
  3. Step 3: Cross multiply
    11,658.86x = 17,492.61 × 5,422.22
  4. Step 4: Simplify right side
    11,658.86x = 94,848,779.79
  5. Step 5: Solve for x
    x = 94,848,779.79/11,658.86
  6. Step 6: Final answer
    x = 8,135.34

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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.