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Finding the Fourth Proportional to 12,883.35, 17,780.07 and 7,219.37

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Solution

The fourth proportional to 12,883.35, 17,780.07 and 7,219.37 is: 9,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.35 : 17,780.07 = 7,219.37 : x
  2. Step 2: Convert to fraction form
    12,883.35/17,780.07 = 7,219.37/x
  3. Step 3: Cross multiply
    12,883.35x = 17,780.07 × 7,219.37
  4. Step 4: Simplify right side
    12,883.35x = 128,360,815.06
  5. Step 5: Solve for x
    x = 128,360,815.06/12,883.35
  6. Step 6: Final answer
    x = 9,963.31

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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.