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Finding the Fourth Proportional to 8,184.55, 12,276.87 and 2,341.21

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Solution

The fourth proportional to 8,184.55, 12,276.87 and 2,341.21 is: 3,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.55 : 12,276.87 = 2,341.21 : x
  2. Step 2: Convert to fraction form
    8,184.55/12,276.87 = 2,341.21/x
  3. Step 3: Cross multiply
    8,184.55x = 12,276.87 × 2,341.21
  4. Step 4: Simplify right side
    8,184.55x = 28,742,730.81
  5. Step 5: Solve for x
    x = 28,742,730.81/8,184.55
  6. Step 6: Final answer
    x = 3,511.83

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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.