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Finding the Fourth Proportional to 7,759.47, 11,634.60 and 5,263.74

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Solution

The fourth proportional to 7,759.47, 11,634.60 and 5,263.74 is: 7,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.47 : 11,634.60 = 5,263.74 : x
  2. Step 2: Convert to fraction form
    7,759.47/11,634.60 = 5,263.74/x
  3. Step 3: Cross multiply
    7,759.47x = 11,634.60 × 5,263.74
  4. Step 4: Simplify right side
    7,759.47x = 61,241,509.40
  5. Step 5: Solve for x
    x = 61,241,509.40/7,759.47
  6. Step 6: Final answer
    x = 7,892.49

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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.