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Finding the Fourth Proportional to 8,491.50, 11,717.28 and 4,714.29

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Solution

The fourth proportional to 8,491.50, 11,717.28 and 4,714.29 is: 6,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.50 : 11,717.28 = 4,714.29 : x
  2. Step 2: Convert to fraction form
    8,491.50/11,717.28 = 4,714.29/x
  3. Step 3: Cross multiply
    8,491.50x = 11,717.28 × 4,714.29
  4. Step 4: Simplify right side
    8,491.50x = 55,238,655.93
  5. Step 5: Solve for x
    x = 55,238,655.93/8,491.50
  6. Step 6: Final answer
    x = 6,505.17

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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.