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Finding the Fourth Proportional to 8,264.54, 12,384.49 and 4,567.83

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Solution

The fourth proportional to 8,264.54, 12,384.49 and 4,567.83 is: 6,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.54 : 12,384.49 = 4,567.83 : x
  2. Step 2: Convert to fraction form
    8,264.54/12,384.49 = 4,567.83/x
  3. Step 3: Cross multiply
    8,264.54x = 12,384.49 × 4,567.83
  4. Step 4: Simplify right side
    8,264.54x = 56,570,244.96
  5. Step 5: Solve for x
    x = 56,570,244.96/8,264.54
  6. Step 6: Final answer
    x = 6,844.94

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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.