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Finding the Fourth Proportional to 8,343.47, 11,514.20 and 4,566.84

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Solution

The fourth proportional to 8,343.47, 11,514.20 and 4,566.84 is: 6,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.47 : 11,514.20 = 4,566.84 : x
  2. Step 2: Convert to fraction form
    8,343.47/11,514.20 = 4,566.84/x
  3. Step 3: Cross multiply
    8,343.47x = 11,514.20 × 4,566.84
  4. Step 4: Simplify right side
    8,343.47x = 52,583,486.29
  5. Step 5: Solve for x
    x = 52,583,486.29/8,343.47
  6. Step 6: Final answer
    x = 6,302.36

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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.