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Finding the Fourth Proportional to 11,780.64, 16,264.08 and 7,813.44

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Solution

The fourth proportional to 11,780.64, 16,264.08 and 7,813.44 is: 10,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.64 : 16,264.08 = 7,813.44 : x
  2. Step 2: Convert to fraction form
    11,780.64/16,264.08 = 7,813.44/x
  3. Step 3: Cross multiply
    11,780.64x = 16,264.08 × 7,813.44
  4. Step 4: Simplify right side
    11,780.64x = 127,078,413.24
  5. Step 5: Solve for x
    x = 127,078,413.24/11,780.64
  6. Step 6: Final answer
    x = 10,787.06

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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.