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Finding the Fourth Proportional to 10,274.49, 15,412.29 and 3,253.98

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Solution

The fourth proportional to 10,274.49, 15,412.29 and 3,253.98 is: 4,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.49 : 15,412.29 = 3,253.98 : x
  2. Step 2: Convert to fraction form
    10,274.49/15,412.29 = 3,253.98/x
  3. Step 3: Cross multiply
    10,274.49x = 15,412.29 × 3,253.98
  4. Step 4: Simplify right side
    10,274.49x = 50,151,283.41
  5. Step 5: Solve for x
    x = 50,151,283.41/10,274.49
  6. Step 6: Final answer
    x = 4,881.15

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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.