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Finding the Fourth Proportional to 11,774.36, 16,248.65 and 6,396.77

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Solution

The fourth proportional to 11,774.36, 16,248.65 and 6,396.77 is: 8,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.36 : 16,248.65 = 6,396.77 : x
  2. Step 2: Convert to fraction form
    11,774.36/16,248.65 = 6,396.77/x
  3. Step 3: Cross multiply
    11,774.36x = 16,248.65 × 6,396.77
  4. Step 4: Simplify right side
    11,774.36x = 103,938,921.48
  5. Step 5: Solve for x
    x = 103,938,921.48/11,774.36
  6. Step 6: Final answer
    x = 8,827.56

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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.