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Finding the Fourth Proportional to 10,266.84, 15,401.10 and 3,247.34

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Solution

The fourth proportional to 10,266.84, 15,401.10 and 3,247.34 is: 4,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.84 : 15,401.10 = 3,247.34 : x
  2. Step 2: Convert to fraction form
    10,266.84/15,401.10 = 3,247.34/x
  3. Step 3: Cross multiply
    10,266.84x = 15,401.10 × 3,247.34
  4. Step 4: Simplify right side
    10,266.84x = 50,012,531.07
  5. Step 5: Solve for x
    x = 50,012,531.07/10,266.84
  6. Step 6: Final answer
    x = 4,871.27

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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.