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Finding the Fourth Proportional to 10,700.32, 16,076.40 and 6,812.32

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Solution

The fourth proportional to 10,700.32, 16,076.40 and 6,812.32 is: 10,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.32 : 16,076.40 = 6,812.32 : x
  2. Step 2: Convert to fraction form
    10,700.32/16,076.40 = 6,812.32/x
  3. Step 3: Cross multiply
    10,700.32x = 16,076.40 × 6,812.32
  4. Step 4: Simplify right side
    10,700.32x = 109,517,581.25
  5. Step 5: Solve for x
    x = 109,517,581.25/10,700.32
  6. Step 6: Final answer
    x = 10,234.98

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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.