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Finding the Fourth Proportional to 37,382.08, 56,082 and 10,728.40

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Solution

The fourth proportional to 37,382.08, 56,082 and 10,728.40 is: 16,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,382.08 : 56,082 = 10,728.40 : x
  2. Step 2: Convert to fraction form
    37,382.08/56,082 = 10,728.40/x
  3. Step 3: Cross multiply
    37,382.08x = 56,082 × 10,728.40
  4. Step 4: Simplify right side
    37,382.08x = 601,670,128.80
  5. Step 5: Solve for x
    x = 601,670,128.80/37,382.08
  6. Step 6: Final answer
    x = 16,095.15

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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.