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Finding the Fourth Proportional to 11,963.96, 16,511.84 and 7,248.32

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Solution

The fourth proportional to 11,963.96, 16,511.84 and 7,248.32 is: 10,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.96 : 16,511.84 = 7,248.32 : x
  2. Step 2: Convert to fraction form
    11,963.96/16,511.84 = 7,248.32/x
  3. Step 3: Cross multiply
    11,963.96x = 16,511.84 × 7,248.32
  4. Step 4: Simplify right side
    11,963.96x = 119,683,100.11
  5. Step 5: Solve for x
    x = 119,683,100.11/11,963.96
  6. Step 6: Final answer
    x = 10,003.64

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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.