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Finding the Fourth Proportional to 11,774.35, 16,245.12 and 9,781.75

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Solution

The fourth proportional to 11,774.35, 16,245.12 and 9,781.75 is: 13,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.35 : 16,245.12 = 9,781.75 : x
  2. Step 2: Convert to fraction form
    11,774.35/16,245.12 = 9,781.75/x
  3. Step 3: Cross multiply
    11,774.35x = 16,245.12 × 9,781.75
  4. Step 4: Simplify right side
    11,774.35x = 158,905,702.56
  5. Step 5: Solve for x
    x = 158,905,702.56/11,774.35
  6. Step 6: Final answer
    x = 13,495.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.