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Finding the Fourth Proportional to 11,774.30, 16,248.83 and 6,469.25

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Solution

The fourth proportional to 11,774.30, 16,248.83 and 6,469.25 is: 8,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.30 : 16,248.83 = 6,469.25 : x
  2. Step 2: Convert to fraction form
    11,774.30/16,248.83 = 6,469.25/x
  3. Step 3: Cross multiply
    11,774.30x = 16,248.83 × 6,469.25
  4. Step 4: Simplify right side
    11,774.30x = 105,117,629.89
  5. Step 5: Solve for x
    x = 105,117,629.89/11,774.30
  6. Step 6: Final answer
    x = 8,927.72

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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.