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Finding the Fourth Proportional to 7,526.54, 10,380.09 and 5,642.37

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Solution

The fourth proportional to 7,526.54, 10,380.09 and 5,642.37 is: 7,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.54 : 10,380.09 = 5,642.37 : x
  2. Step 2: Convert to fraction form
    7,526.54/10,380.09 = 5,642.37/x
  3. Step 3: Cross multiply
    7,526.54x = 10,380.09 × 5,642.37
  4. Step 4: Simplify right side
    7,526.54x = 58,568,308.41
  5. Step 5: Solve for x
    x = 58,568,308.41/7,526.54
  6. Step 6: Final answer
    x = 7,781.58

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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.