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Finding the Fourth Proportional to 8,271.46, 12,409.23 and 2,428.07

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Solution

The fourth proportional to 8,271.46, 12,409.23 and 2,428.07 is: 3,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.46 : 12,409.23 = 2,428.07 : x
  2. Step 2: Convert to fraction form
    8,271.46/12,409.23 = 2,428.07/x
  3. Step 3: Cross multiply
    8,271.46x = 12,409.23 × 2,428.07
  4. Step 4: Simplify right side
    8,271.46x = 30,130,479.09
  5. Step 5: Solve for x
    x = 30,130,479.09/8,271.46
  6. Step 6: Final answer
    x = 3,642.70

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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.