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Finding the Fourth Proportional to 7,692.30, 10,616.40 and 4,335.78

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Solution

The fourth proportional to 7,692.30, 10,616.40 and 4,335.78 is: 5,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.30 : 10,616.40 = 4,335.78 : x
  2. Step 2: Convert to fraction form
    7,692.30/10,616.40 = 4,335.78/x
  3. Step 3: Cross multiply
    7,692.30x = 10,616.40 × 4,335.78
  4. Step 4: Simplify right side
    7,692.30x = 46,030,374.79
  5. Step 5: Solve for x
    x = 46,030,374.79/7,692.30
  6. Step 6: Final answer
    x = 5,983.95

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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.