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Finding the Fourth Proportional to 10,265.84, 15,402.93 and 3,692.54

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Solution

The fourth proportional to 10,265.84, 15,402.93 and 3,692.54 is: 5,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.84 : 15,402.93 = 3,692.54 : x
  2. Step 2: Convert to fraction form
    10,265.84/15,402.93 = 3,692.54/x
  3. Step 3: Cross multiply
    10,265.84x = 15,402.93 × 3,692.54
  4. Step 4: Simplify right side
    10,265.84x = 56,875,858.13
  5. Step 5: Solve for x
    x = 56,875,858.13/10,265.84
  6. Step 6: Final answer
    x = 5,540.31

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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.