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Finding the Fourth Proportional to 10,492.50, 15,738.75 and 3,196.50

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Solution

The fourth proportional to 10,492.50, 15,738.75 and 3,196.50 is: 4,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.50 : 15,738.75 = 3,196.50 : x
  2. Step 2: Convert to fraction form
    10,492.50/15,738.75 = 3,196.50/x
  3. Step 3: Cross multiply
    10,492.50x = 15,738.75 × 3,196.50
  4. Step 4: Simplify right side
    10,492.50x = 50,308,914.38
  5. Step 5: Solve for x
    x = 50,308,914.38/10,492.50
  6. Step 6: Final answer
    x = 4,794.75

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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.