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Finding the Fourth Proportional to 8,543.08, 12,814.62 and 4,646.44

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Solution

The fourth proportional to 8,543.08, 12,814.62 and 4,646.44 is: 6,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.08 : 12,814.62 = 4,646.44 : x
  2. Step 2: Convert to fraction form
    8,543.08/12,814.62 = 4,646.44/x
  3. Step 3: Cross multiply
    8,543.08x = 12,814.62 × 4,646.44
  4. Step 4: Simplify right side
    8,543.08x = 59,542,362.95
  5. Step 5: Solve for x
    x = 59,542,362.95/8,543.08
  6. Step 6: Final answer
    x = 6,969.66

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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.