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Finding the Fourth Proportional to 7,568.99, 10,445.13 and 4,212.10

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Solution

The fourth proportional to 7,568.99, 10,445.13 and 4,212.10 is: 5,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.99 : 10,445.13 = 4,212.10 : x
  2. Step 2: Convert to fraction form
    7,568.99/10,445.13 = 4,212.10/x
  3. Step 3: Cross multiply
    7,568.99x = 10,445.13 × 4,212.10
  4. Step 4: Simplify right side
    7,568.99x = 43,995,933.28
  5. Step 5: Solve for x
    x = 43,995,933.28/7,568.99
  6. Step 6: Final answer
    x = 5,812.65

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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.