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Finding the Fourth Proportional to 11,298.25, 16,953.28 and 8,203.82

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Solution

The fourth proportional to 11,298.25, 16,953.28 and 8,203.82 is: 12,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.25 : 16,953.28 = 8,203.82 : x
  2. Step 2: Convert to fraction form
    11,298.25/16,953.28 = 8,203.82/x
  3. Step 3: Cross multiply
    11,298.25x = 16,953.28 × 8,203.82
  4. Step 4: Simplify right side
    11,298.25x = 139,081,657.53
  5. Step 5: Solve for x
    x = 139,081,657.53/11,298.25
  6. Step 6: Final answer
    x = 12,310.02

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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.