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Finding the Fourth Proportional to 7,470.80, 10,309.44 and 4,113.56

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Solution

The fourth proportional to 7,470.80, 10,309.44 and 4,113.56 is: 5,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.80 : 10,309.44 = 4,113.56 : x
  2. Step 2: Convert to fraction form
    7,470.80/10,309.44 = 4,113.56/x
  3. Step 3: Cross multiply
    7,470.80x = 10,309.44 × 4,113.56
  4. Step 4: Simplify right side
    7,470.80x = 42,408,500.01
  5. Step 5: Solve for x
    x = 42,408,500.01/7,470.80
  6. Step 6: Final answer
    x = 5,676.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.