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Finding the Fourth Proportional to 10,512.96, 15,770.28 and 3,492.72

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Solution

The fourth proportional to 10,512.96, 15,770.28 and 3,492.72 is: 5,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.96 : 15,770.28 = 3,492.72 : x
  2. Step 2: Convert to fraction form
    10,512.96/15,770.28 = 3,492.72/x
  3. Step 3: Cross multiply
    10,512.96x = 15,770.28 × 3,492.72
  4. Step 4: Simplify right side
    10,512.96x = 55,081,172.36
  5. Step 5: Solve for x
    x = 55,081,172.36/10,512.96
  6. Step 6: Final answer
    x = 5,239.36

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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.