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Finding the Fourth Proportional to 8,343.64, 11,514.38 and 4,566.95

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Solution

The fourth proportional to 8,343.64, 11,514.38 and 4,566.95 is: 6,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.64 : 11,514.38 = 4,566.95 : x
  2. Step 2: Convert to fraction form
    8,343.64/11,514.38 = 4,566.95/x
  3. Step 3: Cross multiply
    8,343.64x = 11,514.38 × 4,566.95
  4. Step 4: Simplify right side
    8,343.64x = 52,585,597.74
  5. Step 5: Solve for x
    x = 52,585,597.74/8,343.64
  6. Step 6: Final answer
    x = 6,302.48

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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.