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Finding the Fourth Proportional to 10,646.26, 14,692.08 and 5,930.86

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Solution

The fourth proportional to 10,646.26, 14,692.08 and 5,930.86 is: 8,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.26 : 14,692.08 = 5,930.86 : x
  2. Step 2: Convert to fraction form
    10,646.26/14,692.08 = 5,930.86/x
  3. Step 3: Cross multiply
    10,646.26x = 14,692.08 × 5,930.86
  4. Step 4: Simplify right side
    10,646.26x = 87,136,669.59
  5. Step 5: Solve for x
    x = 87,136,669.59/10,646.26
  6. Step 6: Final answer
    x = 8,184.72

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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.