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Finding the Fourth Proportional to 7,710.47, 10,640.44 and 4,173.68

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Solution

The fourth proportional to 7,710.47, 10,640.44 and 4,173.68 is: 5,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.47 : 10,640.44 = 4,173.68 : x
  2. Step 2: Convert to fraction form
    7,710.47/10,640.44 = 4,173.68/x
  3. Step 3: Cross multiply
    7,710.47x = 10,640.44 × 4,173.68
  4. Step 4: Simplify right side
    7,710.47x = 44,409,791.62
  5. Step 5: Solve for x
    x = 44,409,791.62/7,710.47
  6. Step 6: Final answer
    x = 5,759.67

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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.