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Finding the Fourth Proportional to 10,361.34, 15,538.77 and 4,512.06

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Solution

The fourth proportional to 10,361.34, 15,538.77 and 4,512.06 is: 6,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.34 : 15,538.77 = 4,512.06 : x
  2. Step 2: Convert to fraction form
    10,361.34/15,538.77 = 4,512.06/x
  3. Step 3: Cross multiply
    10,361.34x = 15,538.77 × 4,512.06
  4. Step 4: Simplify right side
    10,361.34x = 70,111,862.57
  5. Step 5: Solve for x
    x = 70,111,862.57/10,361.34
  6. Step 6: Final answer
    x = 6,766.68

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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.