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Finding the Fourth Proportional to 11,798.25, 16,281.39 and 6,492.96

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Solution

The fourth proportional to 11,798.25, 16,281.39 and 6,492.96 is: 8,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.25 : 16,281.39 = 6,492.96 : x
  2. Step 2: Convert to fraction form
    11,798.25/16,281.39 = 6,492.96/x
  3. Step 3: Cross multiply
    11,798.25x = 16,281.39 × 6,492.96
  4. Step 4: Simplify right side
    11,798.25x = 105,714,414.01
  5. Step 5: Solve for x
    x = 105,714,414.01/11,798.25
  6. Step 6: Final answer
    x = 8,960.18

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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.