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Finding the Fourth Proportional to 10,892.32, 16,339.02 and 3,102.28

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Solution

The fourth proportional to 10,892.32, 16,339.02 and 3,102.28 is: 4,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.32 : 16,339.02 = 3,102.28 : x
  2. Step 2: Convert to fraction form
    10,892.32/16,339.02 = 3,102.28/x
  3. Step 3: Cross multiply
    10,892.32x = 16,339.02 × 3,102.28
  4. Step 4: Simplify right side
    10,892.32x = 50,688,214.97
  5. Step 5: Solve for x
    x = 50,688,214.97/10,892.32
  6. Step 6: Final answer
    x = 4,653.57

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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.