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Finding the Fourth Proportional to 7,765.53, 11,646.76 and 2,834.02

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Solution

The fourth proportional to 7,765.53, 11,646.76 and 2,834.02 is: 4,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.53 : 11,646.76 = 2,834.02 : x
  2. Step 2: Convert to fraction form
    7,765.53/11,646.76 = 2,834.02/x
  3. Step 3: Cross multiply
    7,765.53x = 11,646.76 × 2,834.02
  4. Step 4: Simplify right side
    7,765.53x = 33,007,150.78
  5. Step 5: Solve for x
    x = 33,007,150.78/7,765.53
  6. Step 6: Final answer
    x = 4,250.47

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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.