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Finding the Fourth Proportional to 8,492.10, 11,714.27 and 5,342.82

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Solution

The fourth proportional to 8,492.10, 11,714.27 and 5,342.82 is: 7,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.10 : 11,714.27 = 5,342.82 : x
  2. Step 2: Convert to fraction form
    8,492.10/11,714.27 = 5,342.82/x
  3. Step 3: Cross multiply
    8,492.10x = 11,714.27 × 5,342.82
  4. Step 4: Simplify right side
    8,492.10x = 62,587,236.04
  5. Step 5: Solve for x
    x = 62,587,236.04/8,492.10
  6. Step 6: Final answer
    x = 7,370.05

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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.