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Finding the Fourth Proportional to 28,515.36, 42,772.32 and 7,738.32

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Solution

The fourth proportional to 28,515.36, 42,772.32 and 7,738.32 is: 11,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,515.36 : 42,772.32 = 7,738.32 : x
  2. Step 2: Convert to fraction form
    28,515.36/42,772.32 = 7,738.32/x
  3. Step 3: Cross multiply
    28,515.36x = 42,772.32 × 7,738.32
  4. Step 4: Simplify right side
    28,515.36x = 330,985,899.30
  5. Step 5: Solve for x
    x = 330,985,899.30/28,515.36
  6. Step 6: Final answer
    x = 11,607.28

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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.