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Finding the Fourth Proportional to 10,408.50, 15,612.75 and 4,252.50

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Solution

The fourth proportional to 10,408.50, 15,612.75 and 4,252.50 is: 6,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.50 : 15,612.75 = 4,252.50 : x
  2. Step 2: Convert to fraction form
    10,408.50/15,612.75 = 4,252.50/x
  3. Step 3: Cross multiply
    10,408.50x = 15,612.75 × 4,252.50
  4. Step 4: Simplify right side
    10,408.50x = 66,393,219.38
  5. Step 5: Solve for x
    x = 66,393,219.38/10,408.50
  6. Step 6: Final answer
    x = 6,378.75

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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.