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Finding the Fourth Proportional to 28,460.25, 42,690.38 and 7,683.75

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Solution

The fourth proportional to 28,460.25, 42,690.38 and 7,683.75 is: 11,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460.25 : 42,690.38 = 7,683.75 : x
  2. Step 2: Convert to fraction form
    28,460.25/42,690.38 = 7,683.75/x
  3. Step 3: Cross multiply
    28,460.25x = 42,690.38 × 7,683.75
  4. Step 4: Simplify right side
    28,460.25x = 328,022,168.91
  5. Step 5: Solve for x
    x = 328,022,168.91/28,460.25
  6. Step 6: Final answer
    x = 11,525.63

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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.