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Finding the Fourth Proportional to 11,810.41, 16,298.92 and 6,706.29

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Solution

The fourth proportional to 11,810.41, 16,298.92 and 6,706.29 is: 9,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.41 : 16,298.92 = 6,706.29 : x
  2. Step 2: Convert to fraction form
    11,810.41/16,298.92 = 6,706.29/x
  3. Step 3: Cross multiply
    11,810.41x = 16,298.92 × 6,706.29
  4. Step 4: Simplify right side
    11,810.41x = 109,305,353.71
  5. Step 5: Solve for x
    x = 109,305,353.71/11,810.41
  6. Step 6: Final answer
    x = 9,255.00

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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.