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Finding the Fourth Proportional to 8,567.81, 12,853.61 and 3,641.66

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Solution

The fourth proportional to 8,567.81, 12,853.61 and 3,641.66 is: 5,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.81 : 12,853.61 = 3,641.66 : x
  2. Step 2: Convert to fraction form
    8,567.81/12,853.61 = 3,641.66/x
  3. Step 3: Cross multiply
    8,567.81x = 12,853.61 × 3,641.66
  4. Step 4: Simplify right side
    8,567.81x = 46,808,518.63
  5. Step 5: Solve for x
    x = 46,808,518.63/8,567.81
  6. Step 6: Final answer
    x = 5,463.30

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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.