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Finding the Fourth Proportional to 8,271.83, 12,405.72 and 3,340.01

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Solution

The fourth proportional to 8,271.83, 12,405.72 and 3,340.01 is: 5,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.83 : 12,405.72 = 3,340.01 : x
  2. Step 2: Convert to fraction form
    8,271.83/12,405.72 = 3,340.01/x
  3. Step 3: Cross multiply
    8,271.83x = 12,405.72 × 3,340.01
  4. Step 4: Simplify right side
    8,271.83x = 41,435,228.86
  5. Step 5: Solve for x
    x = 41,435,228.86/8,271.83
  6. Step 6: Final answer
    x = 5,009.20

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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.