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Finding the Fourth Proportional to 10,272.88, 15,406.68 and 4,033.12

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Solution

The fourth proportional to 10,272.88, 15,406.68 and 4,033.12 is: 6,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.88 : 15,406.68 = 4,033.12 : x
  2. Step 2: Convert to fraction form
    10,272.88/15,406.68 = 4,033.12/x
  3. Step 3: Cross multiply
    10,272.88x = 15,406.68 × 4,033.12
  4. Step 4: Simplify right side
    10,272.88x = 62,136,989.24
  5. Step 5: Solve for x
    x = 62,136,989.24/10,272.88
  6. Step 6: Final answer
    x = 6,048.64

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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.