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Finding the Fourth Proportional to 8,566.48, 12,840 and 3,633.04

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Solution

The fourth proportional to 8,566.48, 12,840 and 3,633.04 is: 5,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.48 : 12,840 = 3,633.04 : x
  2. Step 2: Convert to fraction form
    8,566.48/12,840 = 3,633.04/x
  3. Step 3: Cross multiply
    8,566.48x = 12,840 × 3,633.04
  4. Step 4: Simplify right side
    8,566.48x = 46,648,233.60
  5. Step 5: Solve for x
    x = 46,648,233.60/8,566.48
  6. Step 6: Final answer
    x = 5,445.44

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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.