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Finding the Fourth Proportional to 7,764, 11,628.18 and 4,952.76

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Solution

The fourth proportional to 7,764, 11,628.18 and 4,952.76 is: 7,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 11,628.18 = 4,952.76 : x
  2. Step 2: Convert to fraction form
    7,764/11,628.18 = 4,952.76/x
  3. Step 3: Cross multiply
    7,764x = 11,628.18 × 4,952.76
  4. Step 4: Simplify right side
    7,764x = 57,591,584.78
  5. Step 5: Solve for x
    x = 57,591,584.78/7,764
  6. Step 6: Final answer
    x = 7,417.77

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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.