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Finding the Fourth Proportional to 8,681.85, 11,969.82 and 5,692.50

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Solution

The fourth proportional to 8,681.85, 11,969.82 and 5,692.50 is: 7,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.85 : 11,969.82 = 5,692.50 : x
  2. Step 2: Convert to fraction form
    8,681.85/11,969.82 = 5,692.50/x
  3. Step 3: Cross multiply
    8,681.85x = 11,969.82 × 5,692.50
  4. Step 4: Simplify right side
    8,681.85x = 68,138,200.35
  5. Step 5: Solve for x
    x = 68,138,200.35/8,681.85
  6. Step 6: Final answer
    x = 7,848.35

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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.