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Finding the Fourth Proportional to 10,925.42, 16,389.74 and 3,999.38

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Solution

The fourth proportional to 10,925.42, 16,389.74 and 3,999.38 is: 5,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.42 : 16,389.74 = 3,999.38 : x
  2. Step 2: Convert to fraction form
    10,925.42/16,389.74 = 3,999.38/x
  3. Step 3: Cross multiply
    10,925.42x = 16,389.74 × 3,999.38
  4. Step 4: Simplify right side
    10,925.42x = 65,548,726.41
  5. Step 5: Solve for x
    x = 65,548,726.41/10,925.42
  6. Step 6: Final answer
    x = 5,999.66

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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.