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Finding the Fourth Proportional to 12,865.26, 17,755.64 and 7,830

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Solution

The fourth proportional to 12,865.26, 17,755.64 and 7,830 is: 10,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.26 : 17,755.64 = 7,830 : x
  2. Step 2: Convert to fraction form
    12,865.26/17,755.64 = 7,830/x
  3. Step 3: Cross multiply
    12,865.26x = 17,755.64 × 7,830
  4. Step 4: Simplify right side
    12,865.26x = 139,026,661.20
  5. Step 5: Solve for x
    x = 139,026,661.20/12,865.26
  6. Step 6: Final answer
    x = 10,806.36

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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.