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Finding the Fourth Proportional to 7,692.35, 10,615.19 and 4,861.24

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Solution

The fourth proportional to 7,692.35, 10,615.19 and 4,861.24 is: 6,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.35 : 10,615.19 = 4,861.24 : x
  2. Step 2: Convert to fraction form
    7,692.35/10,615.19 = 4,861.24/x
  3. Step 3: Cross multiply
    7,692.35x = 10,615.19 × 4,861.24
  4. Step 4: Simplify right side
    7,692.35x = 51,602,935.39
  5. Step 5: Solve for x
    x = 51,602,935.39/7,692.35
  6. Step 6: Final answer
    x = 6,708.35

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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.