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Finding the Fourth Proportional to 7,692.48, 10,615.82 and 4,708.26

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Solution

The fourth proportional to 7,692.48, 10,615.82 and 4,708.26 is: 6,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.48 : 10,615.82 = 4,708.26 : x
  2. Step 2: Convert to fraction form
    7,692.48/10,615.82 = 4,708.26/x
  3. Step 3: Cross multiply
    7,692.48x = 10,615.82 × 4,708.26
  4. Step 4: Simplify right side
    7,692.48x = 49,982,040.67
  5. Step 5: Solve for x
    x = 49,982,040.67/7,692.48
  6. Step 6: Final answer
    x = 6,497.52

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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.