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Finding the Fourth Proportional to 7,107.70, 10,662.38 and 2,947.18

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Solution

The fourth proportional to 7,107.70, 10,662.38 and 2,947.18 is: 4,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.70 : 10,662.38 = 2,947.18 : x
  2. Step 2: Convert to fraction form
    7,107.70/10,662.38 = 2,947.18/x
  3. Step 3: Cross multiply
    7,107.70x = 10,662.38 × 2,947.18
  4. Step 4: Simplify right side
    7,107.70x = 31,423,938.35
  5. Step 5: Solve for x
    x = 31,423,938.35/7,107.70
  6. Step 6: Final answer
    x = 4,421.12

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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.