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Finding the Fourth Proportional to 7,735.81, 10,675.34 and 4,378.59

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Solution

The fourth proportional to 7,735.81, 10,675.34 and 4,378.59 is: 6,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.81 : 10,675.34 = 4,378.59 : x
  2. Step 2: Convert to fraction form
    7,735.81/10,675.34 = 4,378.59/x
  3. Step 3: Cross multiply
    7,735.81x = 10,675.34 × 4,378.59
  4. Step 4: Simplify right side
    7,735.81x = 46,742,936.97
  5. Step 5: Solve for x
    x = 46,742,936.97/7,735.81
  6. Step 6: Final answer
    x = 6,042.41

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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.