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Finding the Fourth Proportional to 11,214.60, 16,803.36 and 6,818.76

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Solution

The fourth proportional to 11,214.60, 16,803.36 and 6,818.76 is: 10,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.60 : 16,803.36 = 6,818.76 : x
  2. Step 2: Convert to fraction form
    11,214.60/16,803.36 = 6,818.76/x
  3. Step 3: Cross multiply
    11,214.60x = 16,803.36 × 6,818.76
  4. Step 4: Simplify right side
    11,214.60x = 114,578,079.03
  5. Step 5: Solve for x
    x = 114,578,079.03/11,214.60
  6. Step 6: Final answer
    x = 10,216.87

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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.