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Finding the Fourth Proportional to 10,646.91, 14,692.72 and 6,173.26

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Solution

The fourth proportional to 10,646.91, 14,692.72 and 6,173.26 is: 8,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.91 : 14,692.72 = 6,173.26 : x
  2. Step 2: Convert to fraction form
    10,646.91/14,692.72 = 6,173.26/x
  3. Step 3: Cross multiply
    10,646.91x = 14,692.72 × 6,173.26
  4. Step 4: Simplify right side
    10,646.91x = 90,701,980.67
  5. Step 5: Solve for x
    x = 90,701,980.67/10,646.91
  6. Step 6: Final answer
    x = 8,519.09

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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.