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Finding the Fourth Proportional to 10,283.45, 15,425.16 and 2,492.25

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Solution

The fourth proportional to 10,283.45, 15,425.16 and 2,492.25 is: 3,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.45 : 15,425.16 = 2,492.25 : x
  2. Step 2: Convert to fraction form
    10,283.45/15,425.16 = 2,492.25/x
  3. Step 3: Cross multiply
    10,283.45x = 15,425.16 × 2,492.25
  4. Step 4: Simplify right side
    10,283.45x = 38,443,355.01
  5. Step 5: Solve for x
    x = 38,443,355.01/10,283.45
  6. Step 6: Final answer
    x = 3,738.37

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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.