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Finding the Fourth Proportional to 7,415.40, 10,229.04 and 4,271.04

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Solution

The fourth proportional to 7,415.40, 10,229.04 and 4,271.04 is: 5,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.40 : 10,229.04 = 4,271.04 : x
  2. Step 2: Convert to fraction form
    7,415.40/10,229.04 = 4,271.04/x
  3. Step 3: Cross multiply
    7,415.40x = 10,229.04 × 4,271.04
  4. Step 4: Simplify right side
    7,415.40x = 43,688,639.00
  5. Step 5: Solve for x
    x = 43,688,639.00/7,415.40
  6. Step 6: Final answer
    x = 5,891.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.