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Finding the Fourth Proportional to 10,492.40, 15,735.26 and 3,471.10

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Solution

The fourth proportional to 10,492.40, 15,735.26 and 3,471.10 is: 5,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.40 : 15,735.26 = 3,471.10 : x
  2. Step 2: Convert to fraction form
    10,492.40/15,735.26 = 3,471.10/x
  3. Step 3: Cross multiply
    10,492.40x = 15,735.26 × 3,471.10
  4. Step 4: Simplify right side
    10,492.40x = 54,618,660.99
  5. Step 5: Solve for x
    x = 54,618,660.99/10,492.40
  6. Step 6: Final answer
    x = 5,205.55

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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.