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Finding the Fourth Proportional to 7,947.66, 11,921.00 and 3,563.67

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Solution

The fourth proportional to 7,947.66, 11,921.00 and 3,563.67 is: 5,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.66 : 11,921.00 = 3,563.67 : x
  2. Step 2: Convert to fraction form
    7,947.66/11,921.00 = 3,563.67/x
  3. Step 3: Cross multiply
    7,947.66x = 11,921.00 × 3,563.67
  4. Step 4: Simplify right side
    7,947.66x = 42,482,492.25
  5. Step 5: Solve for x
    x = 42,482,492.25/7,947.66
  6. Step 6: Final answer
    x = 5,345.28

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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.