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Finding the Fourth Proportional to 7,692.84, 11,534.64 and 3,527.63

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Solution

The fourth proportional to 7,692.84, 11,534.64 and 3,527.63 is: 5,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.84 : 11,534.64 = 3,527.63 : x
  2. Step 2: Convert to fraction form
    7,692.84/11,534.64 = 3,527.63/x
  3. Step 3: Cross multiply
    7,692.84x = 11,534.64 × 3,527.63
  4. Step 4: Simplify right side
    7,692.84x = 40,689,908.26
  5. Step 5: Solve for x
    x = 40,689,908.26/7,692.84
  6. Step 6: Final answer
    x = 5,289.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.