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Finding the Fourth Proportional to 7,692.36, 10,615.65 and 5,004.63

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Solution

The fourth proportional to 7,692.36, 10,615.65 and 5,004.63 is: 6,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.36 : 10,615.65 = 5,004.63 : x
  2. Step 2: Convert to fraction form
    7,692.36/10,615.65 = 5,004.63/x
  3. Step 3: Cross multiply
    7,692.36x = 10,615.65 × 5,004.63
  4. Step 4: Simplify right side
    7,692.36x = 53,127,400.46
  5. Step 5: Solve for x
    x = 53,127,400.46/7,692.36
  6. Step 6: Final answer
    x = 6,906.52

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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.