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Finding the Fourth Proportional to 8,567.63, 12,853.33 and 3,641.48

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Solution

The fourth proportional to 8,567.63, 12,853.33 and 3,641.48 is: 5,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.63 : 12,853.33 = 3,641.48 : x
  2. Step 2: Convert to fraction form
    8,567.63/12,853.33 = 3,641.48/x
  3. Step 3: Cross multiply
    8,567.63x = 12,853.33 × 3,641.48
  4. Step 4: Simplify right side
    8,567.63x = 46,805,070.76
  5. Step 5: Solve for x
    x = 46,805,070.76/8,567.63
  6. Step 6: Final answer
    x = 5,463.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.