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Finding the Fourth Proportional to 7,709.87, 10,639.65 and 4,173.08

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Solution

The fourth proportional to 7,709.87, 10,639.65 and 4,173.08 is: 5,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.87 : 10,639.65 = 4,173.08 : x
  2. Step 2: Convert to fraction form
    7,709.87/10,639.65 = 4,173.08/x
  3. Step 3: Cross multiply
    7,709.87x = 10,639.65 × 4,173.08
  4. Step 4: Simplify right side
    7,709.87x = 44,400,110.62
  5. Step 5: Solve for x
    x = 44,400,110.62/7,709.87
  6. Step 6: Final answer
    x = 5,758.87

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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.