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Finding the Fourth Proportional to 12,884.40, 17,780.40 and 7,295.04

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Solution

The fourth proportional to 12,884.40, 17,780.40 and 7,295.04 is: 10,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.40 : 17,780.40 = 7,295.04 : x
  2. Step 2: Convert to fraction form
    12,884.40/17,780.40 = 7,295.04/x
  3. Step 3: Cross multiply
    12,884.40x = 17,780.40 × 7,295.04
  4. Step 4: Simplify right side
    12,884.40x = 129,708,729.22
  5. Step 5: Solve for x
    x = 129,708,729.22/12,884.40
  6. Step 6: Final answer
    x = 10,067.11

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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.