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Finding the Fourth Proportional to 8,468.60, 12,692.10 and 6,511.10

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Solution

The fourth proportional to 8,468.60, 12,692.10 and 6,511.10 is: 9,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.60 : 12,692.10 = 6,511.10 : x
  2. Step 2: Convert to fraction form
    8,468.60/12,692.10 = 6,511.10/x
  3. Step 3: Cross multiply
    8,468.60x = 12,692.10 × 6,511.10
  4. Step 4: Simplify right side
    8,468.60x = 82,639,532.31
  5. Step 5: Solve for x
    x = 82,639,532.31/8,468.60
  6. Step 6: Final answer
    x = 9,758.35

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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.