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Finding the Fourth Proportional to 11,808, 16,295.08 and 6,502.84

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Solution

The fourth proportional to 11,808, 16,295.08 and 6,502.84 is: 8,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808 : 16,295.08 = 6,502.84 : x
  2. Step 2: Convert to fraction form
    11,808/16,295.08 = 6,502.84/x
  3. Step 3: Cross multiply
    11,808x = 16,295.08 × 6,502.84
  4. Step 4: Simplify right side
    11,808x = 105,964,298.03
  5. Step 5: Solve for x
    x = 105,964,298.03/11,808
  6. Step 6: Final answer
    x = 8,973.94

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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.