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Finding the Fourth Proportional to 7,544.44, 10,411.74 and 4,560.26

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Solution

The fourth proportional to 7,544.44, 10,411.74 and 4,560.26 is: 6,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.44 : 10,411.74 = 4,560.26 : x
  2. Step 2: Convert to fraction form
    7,544.44/10,411.74 = 4,560.26/x
  3. Step 3: Cross multiply
    7,544.44x = 10,411.74 × 4,560.26
  4. Step 4: Simplify right side
    7,544.44x = 47,480,241.45
  5. Step 5: Solve for x
    x = 47,480,241.45/7,544.44
  6. Step 6: Final answer
    x = 6,293.41

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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.