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Finding the Fourth Proportional to 8,376, 12,564 and 2,532.48

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Solution

The fourth proportional to 8,376, 12,564 and 2,532.48 is: 3,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376 : 12,564 = 2,532.48 : x
  2. Step 2: Convert to fraction form
    8,376/12,564 = 2,532.48/x
  3. Step 3: Cross multiply
    8,376x = 12,564 × 2,532.48
  4. Step 4: Simplify right side
    8,376x = 31,818,078.72
  5. Step 5: Solve for x
    x = 31,818,078.72/8,376
  6. Step 6: Final answer
    x = 3,798.72

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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.