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Finding the Fourth Proportional to 10,764.87, 14,855.52 and 6,049.18

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Solution

The fourth proportional to 10,764.87, 14,855.52 and 6,049.18 is: 8,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.87 : 14,855.52 = 6,049.18 : x
  2. Step 2: Convert to fraction form
    10,764.87/14,855.52 = 6,049.18/x
  3. Step 3: Cross multiply
    10,764.87x = 14,855.52 × 6,049.18
  4. Step 4: Simplify right side
    10,764.87x = 89,863,714.47
  5. Step 5: Solve for x
    x = 89,863,714.47/10,764.87
  6. Step 6: Final answer
    x = 8,347.87

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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.