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Finding the Fourth Proportional to 10,271.68, 15,409.40 and 3,253.46

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Solution

The fourth proportional to 10,271.68, 15,409.40 and 3,253.46 is: 4,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.68 : 15,409.40 = 3,253.46 : x
  2. Step 2: Convert to fraction form
    10,271.68/15,409.40 = 3,253.46/x
  3. Step 3: Cross multiply
    10,271.68x = 15,409.40 × 3,253.46
  4. Step 4: Simplify right side
    10,271.68x = 50,133,866.52
  5. Step 5: Solve for x
    x = 50,133,866.52/10,271.68
  6. Step 6: Final answer
    x = 4,880.79

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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.