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Finding the Fourth Proportional to 7,713.28, 10,644.53 and 4,730.76

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Solution

The fourth proportional to 7,713.28, 10,644.53 and 4,730.76 is: 6,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.28 : 10,644.53 = 4,730.76 : x
  2. Step 2: Convert to fraction form
    7,713.28/10,644.53 = 4,730.76/x
  3. Step 3: Cross multiply
    7,713.28x = 10,644.53 × 4,730.76
  4. Step 4: Simplify right side
    7,713.28x = 50,356,729.68
  5. Step 5: Solve for x
    x = 50,356,729.68/7,713.28
  6. Step 6: Final answer
    x = 6,528.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.