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Finding the Fourth Proportional to 8,390.87, 12,577.07 and 3,457.82

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Solution

The fourth proportional to 8,390.87, 12,577.07 and 3,457.82 is: 5,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.87 : 12,577.07 = 3,457.82 : x
  2. Step 2: Convert to fraction form
    8,390.87/12,577.07 = 3,457.82/x
  3. Step 3: Cross multiply
    8,390.87x = 12,577.07 × 3,457.82
  4. Step 4: Simplify right side
    8,390.87x = 43,489,164.01
  5. Step 5: Solve for x
    x = 43,489,164.01/8,390.87
  6. Step 6: Final answer
    x = 5,182.92

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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.