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Finding the Fourth Proportional to 8,184, 12,276 and 2,339.76

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Solution

The fourth proportional to 8,184, 12,276 and 2,339.76 is: 3,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 12,276 = 2,339.76 : x
  2. Step 2: Convert to fraction form
    8,184/12,276 = 2,339.76/x
  3. Step 3: Cross multiply
    8,184x = 12,276 × 2,339.76
  4. Step 4: Simplify right side
    8,184x = 28,722,893.76
  5. Step 5: Solve for x
    x = 28,722,893.76/8,184
  6. Step 6: Final answer
    x = 3,509.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.