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Finding the Fourth Proportional to 7,812.50, 11,720.57 and 2,265.98

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Solution

The fourth proportional to 7,812.50, 11,720.57 and 2,265.98 is: 3,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.50 : 11,720.57 = 2,265.98 : x
  2. Step 2: Convert to fraction form
    7,812.50/11,720.57 = 2,265.98/x
  3. Step 3: Cross multiply
    7,812.50x = 11,720.57 × 2,265.98
  4. Step 4: Simplify right side
    7,812.50x = 26,558,507.28
  5. Step 5: Solve for x
    x = 26,558,507.28/7,812.50
  6. Step 6: Final answer
    x = 3,399.49

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Why These Related Problems?

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