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Finding the Fourth Proportional to 8,271.71, 12,405.69 and 2,428.77

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Solution

The fourth proportional to 8,271.71, 12,405.69 and 2,428.77 is: 3,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.71 : 12,405.69 = 2,428.77 : x
  2. Step 2: Convert to fraction form
    8,271.71/12,405.69 = 2,428.77/x
  3. Step 3: Cross multiply
    8,271.71x = 12,405.69 × 2,428.77
  4. Step 4: Simplify right side
    8,271.71x = 30,130,567.70
  5. Step 5: Solve for x
    x = 30,130,567.70/8,271.71
  6. Step 6: Final answer
    x = 3,642.61

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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.