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Finding the Fourth Proportional to 10,406.64, 14,362.50 and 5,932

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Solution

The fourth proportional to 10,406.64, 14,362.50 and 5,932 is: 8,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.64 : 14,362.50 = 5,932 : x
  2. Step 2: Convert to fraction form
    10,406.64/14,362.50 = 5,932/x
  3. Step 3: Cross multiply
    10,406.64x = 14,362.50 × 5,932
  4. Step 4: Simplify right side
    10,406.64x = 85,198,350
  5. Step 5: Solve for x
    x = 85,198,350/10,406.64
  6. Step 6: Final answer
    x = 8,186.92

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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.