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Finding the Fourth Proportional to 10,947.10, 16,420.65 and 7,491.10

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Solution

The fourth proportional to 10,947.10, 16,420.65 and 7,491.10 is: 11,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.10 : 16,420.65 = 7,491.10 : x
  2. Step 2: Convert to fraction form
    10,947.10/16,420.65 = 7,491.10/x
  3. Step 3: Cross multiply
    10,947.10x = 16,420.65 × 7,491.10
  4. Step 4: Simplify right side
    10,947.10x = 123,008,731.22
  5. Step 5: Solve for x
    x = 123,008,731.22/10,947.10
  6. Step 6: Final answer
    x = 11,236.65

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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.