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Finding the Fourth Proportional to 8,364.63, 12,536.82 and 4,662.93

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Solution

The fourth proportional to 8,364.63, 12,536.82 and 4,662.93 is: 6,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.63 : 12,536.82 = 4,662.93 : x
  2. Step 2: Convert to fraction form
    8,364.63/12,536.82 = 4,662.93/x
  3. Step 3: Cross multiply
    8,364.63x = 12,536.82 × 4,662.93
  4. Step 4: Simplify right side
    8,364.63x = 58,458,314.08
  5. Step 5: Solve for x
    x = 58,458,314.08/8,364.63
  6. Step 6: Final answer
    x = 6,988.75

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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.