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Finding the Fourth Proportional to 8,522.32, 12,784.80 and 2,678.38

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Solution

The fourth proportional to 8,522.32, 12,784.80 and 2,678.38 is: 4,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.32 : 12,784.80 = 2,678.38 : x
  2. Step 2: Convert to fraction form
    8,522.32/12,784.80 = 2,678.38/x
  3. Step 3: Cross multiply
    8,522.32x = 12,784.80 × 2,678.38
  4. Step 4: Simplify right side
    8,522.32x = 34,242,552.62
  5. Step 5: Solve for x
    x = 34,242,552.62/8,522.32
  6. Step 6: Final answer
    x = 4,017.98

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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.