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Finding the Fourth Proportional to 8,262, 12,384.80 and 4,565.97

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Solution

The fourth proportional to 8,262, 12,384.80 and 4,565.97 is: 6,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262 : 12,384.80 = 4,565.97 : x
  2. Step 2: Convert to fraction form
    8,262/12,384.80 = 4,565.97/x
  3. Step 3: Cross multiply
    8,262x = 12,384.80 × 4,565.97
  4. Step 4: Simplify right side
    8,262x = 56,548,619.55
  5. Step 5: Solve for x
    x = 56,548,619.55/8,262
  6. Step 6: Final answer
    x = 6,844.42

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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.