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Finding the Fourth Proportional to 6,952.16, 10,412.38 and 4,348.64

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Solution

The fourth proportional to 6,952.16, 10,412.38 and 4,348.64 is: 6,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.16 : 10,412.38 = 4,348.64 : x
  2. Step 2: Convert to fraction form
    6,952.16/10,412.38 = 4,348.64/x
  3. Step 3: Cross multiply
    6,952.16x = 10,412.38 × 4,348.64
  4. Step 4: Simplify right side
    6,952.16x = 45,279,692.16
  5. Step 5: Solve for x
    x = 45,279,692.16/6,952.16
  6. Step 6: Final answer
    x = 6,513.04

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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.