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Finding the Fourth Proportional to 8,343.68, 11,514.11 and 4,566.76

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Solution

The fourth proportional to 8,343.68, 11,514.11 and 4,566.76 is: 6,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.68 : 11,514.11 = 4,566.76 : x
  2. Step 2: Convert to fraction form
    8,343.68/11,514.11 = 4,566.76/x
  3. Step 3: Cross multiply
    8,343.68x = 11,514.11 × 4,566.76
  4. Step 4: Simplify right side
    8,343.68x = 52,582,125.36
  5. Step 5: Solve for x
    x = 52,582,125.36/8,343.68
  6. Step 6: Final answer
    x = 6,302.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.