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Finding the Fourth Proportional to 10,648.30, 14,692.03 and 6,613.28

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Solution

The fourth proportional to 10,648.30, 14,692.03 and 6,613.28 is: 9,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.30 : 14,692.03 = 6,613.28 : x
  2. Step 2: Convert to fraction form
    10,648.30/14,692.03 = 6,613.28/x
  3. Step 3: Cross multiply
    10,648.30x = 14,692.03 × 6,613.28
  4. Step 4: Simplify right side
    10,648.30x = 97,162,530.59
  5. Step 5: Solve for x
    x = 97,162,530.59/10,648.30
  6. Step 6: Final answer
    x = 9,124.70

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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.