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Finding the Fourth Proportional to 7,656.58, 11,475.64 and 3,956.82

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Solution

The fourth proportional to 7,656.58, 11,475.64 and 3,956.82 is: 5,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.58 : 11,475.64 = 3,956.82 : x
  2. Step 2: Convert to fraction form
    7,656.58/11,475.64 = 3,956.82/x
  3. Step 3: Cross multiply
    7,656.58x = 11,475.64 × 3,956.82
  4. Step 4: Simplify right side
    7,656.58x = 45,407,041.86
  5. Step 5: Solve for x
    x = 45,407,041.86/7,656.58
  6. Step 6: Final answer
    x = 5,930.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.