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Finding the Fourth Proportional to 10,491.44, 15,714.50 and 4,936.46

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Solution

The fourth proportional to 10,491.44, 15,714.50 and 4,936.46 is: 7,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.44 : 15,714.50 = 4,936.46 : x
  2. Step 2: Convert to fraction form
    10,491.44/15,714.50 = 4,936.46/x
  3. Step 3: Cross multiply
    10,491.44x = 15,714.50 × 4,936.46
  4. Step 4: Simplify right side
    10,491.44x = 77,574,000.67
  5. Step 5: Solve for x
    x = 77,574,000.67/10,491.44
  6. Step 6: Final answer
    x = 7,394.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.