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Finding the Fourth Proportional to 26,845.36, 40,264.93 and 7,125.46

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Solution

The fourth proportional to 26,845.36, 40,264.93 and 7,125.46 is: 10,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,845.36 : 40,264.93 = 7,125.46 : x
  2. Step 2: Convert to fraction form
    26,845.36/40,264.93 = 7,125.46/x
  3. Step 3: Cross multiply
    26,845.36x = 40,264.93 × 7,125.46
  4. Step 4: Simplify right side
    26,845.36x = 286,906,148.12
  5. Step 5: Solve for x
    x = 286,906,148.12/26,845.36
  6. Step 6: Final answer
    x = 10,687.36

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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.