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Finding the Fourth Proportional to 10,648.96, 14,692.08 and 6,455.68

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Solution

The fourth proportional to 10,648.96, 14,692.08 and 6,455.68 is: 8,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.96 : 14,692.08 = 6,455.68 : x
  2. Step 2: Convert to fraction form
    10,648.96/14,692.08 = 6,455.68/x
  3. Step 3: Cross multiply
    10,648.96x = 14,692.08 × 6,455.68
  4. Step 4: Simplify right side
    10,648.96x = 94,847,367.01
  5. Step 5: Solve for x
    x = 94,847,367.01/10,648.96
  6. Step 6: Final answer
    x = 8,906.73

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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.