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Finding the Fourth Proportional to 10,813.61, 16,188.81 and 9,776.00

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Solution

The fourth proportional to 10,813.61, 16,188.81 and 9,776.00 is: 14,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.61 : 16,188.81 = 9,776.00 : x
  2. Step 2: Convert to fraction form
    10,813.61/16,188.81 = 9,776.00/x
  3. Step 3: Cross multiply
    10,813.61x = 16,188.81 × 9,776.00
  4. Step 4: Simplify right side
    10,813.61x = 158,261,725.62
  5. Step 5: Solve for x
    x = 158,261,725.62/10,813.61
  6. Step 6: Final answer
    x = 14,635.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.