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Finding the Fourth Proportional to 7,568.37, 10,444.59 and 4,165.52

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Solution

The fourth proportional to 7,568.37, 10,444.59 and 4,165.52 is: 5,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.37 : 10,444.59 = 4,165.52 : x
  2. Step 2: Convert to fraction form
    7,568.37/10,444.59 = 4,165.52/x
  3. Step 3: Cross multiply
    7,568.37x = 10,444.59 × 4,165.52
  4. Step 4: Simplify right side
    7,568.37x = 43,507,096.31
  5. Step 5: Solve for x
    x = 43,507,096.31/7,568.37
  6. Step 6: Final answer
    x = 5,748.54

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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.