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Finding the Fourth Proportional to 8,645.64, 12,956.28 and 4,942.32

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Solution

The fourth proportional to 8,645.64, 12,956.28 and 4,942.32 is: 7,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.64 : 12,956.28 = 4,942.32 : x
  2. Step 2: Convert to fraction form
    8,645.64/12,956.28 = 4,942.32/x
  3. Step 3: Cross multiply
    8,645.64x = 12,956.28 × 4,942.32
  4. Step 4: Simplify right side
    8,645.64x = 64,034,081.77
  5. Step 5: Solve for x
    x = 64,034,081.77/8,645.64
  6. Step 6: Final answer
    x = 7,406.52

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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.