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Finding the Fourth Proportional to 7,728.56, 10,666.32 and 4,743.35

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Solution

The fourth proportional to 7,728.56, 10,666.32 and 4,743.35 is: 6,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.56 : 10,666.32 = 4,743.35 : x
  2. Step 2: Convert to fraction form
    7,728.56/10,666.32 = 4,743.35/x
  3. Step 3: Cross multiply
    7,728.56x = 10,666.32 × 4,743.35
  4. Step 4: Simplify right side
    7,728.56x = 50,594,088.97
  5. Step 5: Solve for x
    x = 50,594,088.97/7,728.56
  6. Step 6: Final answer
    x = 6,546.38

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Why These Related Problems?

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