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Finding the Fourth Proportional to 10,271.20, 15,406.80 and 3,346.40

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Solution

The fourth proportional to 10,271.20, 15,406.80 and 3,346.40 is: 5,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.20 : 15,406.80 = 3,346.40 : x
  2. Step 2: Convert to fraction form
    10,271.20/15,406.80 = 3,346.40/x
  3. Step 3: Cross multiply
    10,271.20x = 15,406.80 × 3,346.40
  4. Step 4: Simplify right side
    10,271.20x = 51,557,315.52
  5. Step 5: Solve for x
    x = 51,557,315.52/10,271.20
  6. Step 6: Final answer
    x = 5,019.60

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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.