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Finding the Fourth Proportional to 10,776.51, 16,164.63 and 5,877.36

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Solution

The fourth proportional to 10,776.51, 16,164.63 and 5,877.36 is: 8,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.51 : 16,164.63 = 5,877.36 : x
  2. Step 2: Convert to fraction form
    10,776.51/16,164.63 = 5,877.36/x
  3. Step 3: Cross multiply
    10,776.51x = 16,164.63 × 5,877.36
  4. Step 4: Simplify right side
    10,776.51x = 95,005,349.78
  5. Step 5: Solve for x
    x = 95,005,349.78/10,776.51
  6. Step 6: Final answer
    x = 8,815.97

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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.