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Finding the Fourth Proportional to 10,564.62, 15,846.42 and 3,544.74

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Solution

The fourth proportional to 10,564.62, 15,846.42 and 3,544.74 is: 5,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.62 : 15,846.42 = 3,544.74 : x
  2. Step 2: Convert to fraction form
    10,564.62/15,846.42 = 3,544.74/x
  3. Step 3: Cross multiply
    10,564.62x = 15,846.42 × 3,544.74
  4. Step 4: Simplify right side
    10,564.62x = 56,171,438.83
  5. Step 5: Solve for x
    x = 56,171,438.83/10,564.62
  6. Step 6: Final answer
    x = 5,316.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.