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Finding the Fourth Proportional to 7,729.28, 10,664.32 and 4,746.24

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Solution

The fourth proportional to 7,729.28, 10,664.32 and 4,746.24 is: 6,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.28 : 10,664.32 = 4,746.24 : x
  2. Step 2: Convert to fraction form
    7,729.28/10,664.32 = 4,746.24/x
  3. Step 3: Cross multiply
    7,729.28x = 10,664.32 × 4,746.24
  4. Step 4: Simplify right side
    7,729.28x = 50,615,422.16
  5. Step 5: Solve for x
    x = 50,615,422.16/7,729.28
  6. Step 6: Final answer
    x = 6,548.53

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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.