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Finding the Fourth Proportional to 26,265.44, 39,395.28 and 7,796

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Solution

The fourth proportional to 26,265.44, 39,395.28 and 7,796 is: 11,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,265.44 : 39,395.28 = 7,796 : x
  2. Step 2: Convert to fraction form
    26,265.44/39,395.28 = 7,796/x
  3. Step 3: Cross multiply
    26,265.44x = 39,395.28 × 7,796
  4. Step 4: Simplify right side
    26,265.44x = 307,125,602.88
  5. Step 5: Solve for x
    x = 307,125,602.88/26,265.44
  6. Step 6: Final answer
    x = 11,693.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.