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Finding the Fourth Proportional to 10,412.64, 14,369.82 and 5,937.12

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Solution

The fourth proportional to 10,412.64, 14,369.82 and 5,937.12 is: 8,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.64 : 14,369.82 = 5,937.12 : x
  2. Step 2: Convert to fraction form
    10,412.64/14,369.82 = 5,937.12/x
  3. Step 3: Cross multiply
    10,412.64x = 14,369.82 × 5,937.12
  4. Step 4: Simplify right side
    10,412.64x = 85,315,345.72
  5. Step 5: Solve for x
    x = 85,315,345.72/10,412.64
  6. Step 6: Final answer
    x = 8,193.44

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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.