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Finding the Fourth Proportional to 11,807.49, 16,294.26 and 6,502.27

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Solution

The fourth proportional to 11,807.49, 16,294.26 and 6,502.27 is: 8,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.49 : 16,294.26 = 6,502.27 : x
  2. Step 2: Convert to fraction form
    11,807.49/16,294.26 = 6,502.27/x
  3. Step 3: Cross multiply
    11,807.49x = 16,294.26 × 6,502.27
  4. Step 4: Simplify right side
    11,807.49x = 105,949,637.23
  5. Step 5: Solve for x
    x = 105,949,637.23/11,807.49
  6. Step 6: Final answer
    x = 8,973.09

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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.