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Finding the Fourth Proportional to 7,709.97, 10,639.77 and 4,173.18

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Solution

The fourth proportional to 7,709.97, 10,639.77 and 4,173.18 is: 5,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.97 : 10,639.77 = 4,173.18 : x
  2. Step 2: Convert to fraction form
    7,709.97/10,639.77 = 4,173.18/x
  3. Step 3: Cross multiply
    7,709.97x = 10,639.77 × 4,173.18
  4. Step 4: Simplify right side
    7,709.97x = 44,401,643.29
  5. Step 5: Solve for x
    x = 44,401,643.29/7,709.97
  6. Step 6: Final answer
    x = 5,758.99

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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.