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Finding the Fourth Proportional to 8,412.32, 12,625.14 and 4,713.86

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Solution

The fourth proportional to 8,412.32, 12,625.14 and 4,713.86 is: 7,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.32 : 12,625.14 = 4,713.86 : x
  2. Step 2: Convert to fraction form
    8,412.32/12,625.14 = 4,713.86/x
  3. Step 3: Cross multiply
    8,412.32x = 12,625.14 × 4,713.86
  4. Step 4: Simplify right side
    8,412.32x = 59,513,142.44
  5. Step 5: Solve for x
    x = 59,513,142.44/8,412.32
  6. Step 6: Final answer
    x = 7,074.52

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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.