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Finding the Fourth Proportional to 7,720.49, 11,580.28 and 4,759.50

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Solution

The fourth proportional to 7,720.49, 11,580.28 and 4,759.50 is: 7,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.49 : 11,580.28 = 4,759.50 : x
  2. Step 2: Convert to fraction form
    7,720.49/11,580.28 = 4,759.50/x
  3. Step 3: Cross multiply
    7,720.49x = 11,580.28 × 4,759.50
  4. Step 4: Simplify right side
    7,720.49x = 55,116,318.86
  5. Step 5: Solve for x
    x = 55,116,318.86/7,720.49
  6. Step 6: Final answer
    x = 7,138.97

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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.