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Finding the Fourth Proportional to 7,544.35, 10,409.68 and 4,560.35

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Solution

The fourth proportional to 7,544.35, 10,409.68 and 4,560.35 is: 6,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.35 : 10,409.68 = 4,560.35 : x
  2. Step 2: Convert to fraction form
    7,544.35/10,409.68 = 4,560.35/x
  3. Step 3: Cross multiply
    7,544.35x = 10,409.68 × 4,560.35
  4. Step 4: Simplify right side
    7,544.35x = 47,471,796.39
  5. Step 5: Solve for x
    x = 47,471,796.39/7,544.35
  6. Step 6: Final answer
    x = 6,292.37

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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.