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Finding the Fourth Proportional to 8,669.46, 11,969.00 and 5,690.51

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Solution

The fourth proportional to 8,669.46, 11,969.00 and 5,690.51 is: 7,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.46 : 11,969.00 = 5,690.51 : x
  2. Step 2: Convert to fraction form
    8,669.46/11,969.00 = 5,690.51/x
  3. Step 3: Cross multiply
    8,669.46x = 11,969.00 × 5,690.51
  4. Step 4: Simplify right side
    8,669.46x = 68,109,625.89
  5. Step 5: Solve for x
    x = 68,109,625.89/8,669.46
  6. Step 6: Final answer
    x = 7,856.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.