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Finding the Fourth Proportional to 11,607.86, 17,408.53 and 4,490.46

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Solution

The fourth proportional to 11,607.86, 17,408.53 and 4,490.46 is: 6,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.86 : 17,408.53 = 4,490.46 : x
  2. Step 2: Convert to fraction form
    11,607.86/17,408.53 = 4,490.46/x
  3. Step 3: Cross multiply
    11,607.86x = 17,408.53 × 4,490.46
  4. Step 4: Simplify right side
    11,607.86x = 78,172,307.62
  5. Step 5: Solve for x
    x = 78,172,307.62/11,607.86
  6. Step 6: Final answer
    x = 6,734.43

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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.