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Finding the Fourth Proportional to 7,614.09, 10,507.01 and 4,256.24

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Solution

The fourth proportional to 7,614.09, 10,507.01 and 4,256.24 is: 5,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.09 : 10,507.01 = 4,256.24 : x
  2. Step 2: Convert to fraction form
    7,614.09/10,507.01 = 4,256.24/x
  3. Step 3: Cross multiply
    7,614.09x = 10,507.01 × 4,256.24
  4. Step 4: Simplify right side
    7,614.09x = 44,720,314.35
  5. Step 5: Solve for x
    x = 44,720,314.35/7,614.09
  6. Step 6: Final answer
    x = 5,873.36

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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.