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Finding the Fourth Proportional to 8,567.83, 12,853.50 and 3,637.45

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Solution

The fourth proportional to 8,567.83, 12,853.50 and 3,637.45 is: 5,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.83 : 12,853.50 = 3,637.45 : x
  2. Step 2: Convert to fraction form
    8,567.83/12,853.50 = 3,637.45/x
  3. Step 3: Cross multiply
    8,567.83x = 12,853.50 × 3,637.45
  4. Step 4: Simplify right side
    8,567.83x = 46,753,963.58
  5. Step 5: Solve for x
    x = 46,753,963.58/8,567.83
  6. Step 6: Final answer
    x = 5,456.92

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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.