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Finding the Fourth Proportional to 7,712.97, 10,643.85 and 4,176.17

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Solution

The fourth proportional to 7,712.97, 10,643.85 and 4,176.17 is: 5,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.97 : 10,643.85 = 4,176.17 : x
  2. Step 2: Convert to fraction form
    7,712.97/10,643.85 = 4,176.17/x
  3. Step 3: Cross multiply
    7,712.97x = 10,643.85 × 4,176.17
  4. Step 4: Simplify right side
    7,712.97x = 44,450,527.05
  5. Step 5: Solve for x
    x = 44,450,527.05/7,712.97
  6. Step 6: Final answer
    x = 5,763.09

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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.