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Finding the Fourth Proportional to 12,780.72, 17,639.64 and 7,478.28

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Solution

The fourth proportional to 12,780.72, 17,639.64 and 7,478.28 is: 10,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.72 : 17,639.64 = 7,478.28 : x
  2. Step 2: Convert to fraction form
    12,780.72/17,639.64 = 7,478.28/x
  3. Step 3: Cross multiply
    12,780.72x = 17,639.64 × 7,478.28
  4. Step 4: Simplify right side
    12,780.72x = 131,914,167.02
  5. Step 5: Solve for x
    x = 131,914,167.02/12,780.72
  6. Step 6: Final answer
    x = 10,321.34

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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.