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Finding the Fourth Proportional to 7,568.40, 10,444.53 and 4,584.54

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Solution

The fourth proportional to 7,568.40, 10,444.53 and 4,584.54 is: 6,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.40 : 10,444.53 = 4,584.54 : x
  2. Step 2: Convert to fraction form
    7,568.40/10,444.53 = 4,584.54/x
  3. Step 3: Cross multiply
    7,568.40x = 10,444.53 × 4,584.54
  4. Step 4: Simplify right side
    7,568.40x = 47,883,365.57
  5. Step 5: Solve for x
    x = 47,883,365.57/7,568.40
  6. Step 6: Final answer
    x = 6,326.75

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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.