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Finding the Fourth Proportional to 7,742.56, 10,680.84 and 4,597.60

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Solution

The fourth proportional to 7,742.56, 10,680.84 and 4,597.60 is: 6,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.56 : 10,680.84 = 4,597.60 : x
  2. Step 2: Convert to fraction form
    7,742.56/10,680.84 = 4,597.60/x
  3. Step 3: Cross multiply
    7,742.56x = 10,680.84 × 4,597.60
  4. Step 4: Simplify right side
    7,742.56x = 49,106,229.98
  5. Step 5: Solve for x
    x = 49,106,229.98/7,742.56
  6. Step 6: Final answer
    x = 6,342.38

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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.