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Finding the Fourth Proportional to 11,808.11, 16,294.80 and 6,502.92

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Solution

The fourth proportional to 11,808.11, 16,294.80 and 6,502.92 is: 8,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.11 : 16,294.80 = 6,502.92 : x
  2. Step 2: Convert to fraction form
    11,808.11/16,294.80 = 6,502.92/x
  3. Step 3: Cross multiply
    11,808.11x = 16,294.80 × 6,502.92
  4. Step 4: Simplify right side
    11,808.11x = 105,963,744.10
  5. Step 5: Solve for x
    x = 105,963,744.10/11,808.11
  6. Step 6: Final answer
    x = 8,973.81

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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.