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Finding the Fourth Proportional to 11,750.06, 16,215.98 and 6,714.49

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Solution

The fourth proportional to 11,750.06, 16,215.98 and 6,714.49 is: 9,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.06 : 16,215.98 = 6,714.49 : x
  2. Step 2: Convert to fraction form
    11,750.06/16,215.98 = 6,714.49/x
  3. Step 3: Cross multiply
    11,750.06x = 16,215.98 × 6,714.49
  4. Step 4: Simplify right side
    11,750.06x = 108,882,034.11
  5. Step 5: Solve for x
    x = 108,882,034.11/11,750.06
  6. Step 6: Final answer
    x = 9,266.51

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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.