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Finding the Fourth Proportional to 10,877.88, 16,313.36 and 6,711.64

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Solution

The fourth proportional to 10,877.88, 16,313.36 and 6,711.64 is: 10,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.88 : 16,313.36 = 6,711.64 : x
  2. Step 2: Convert to fraction form
    10,877.88/16,313.36 = 6,711.64/x
  3. Step 3: Cross multiply
    10,877.88x = 16,313.36 × 6,711.64
  4. Step 4: Simplify right side
    10,877.88x = 109,489,399.51
  5. Step 5: Solve for x
    x = 109,489,399.51/10,877.88
  6. Step 6: Final answer
    x = 10,065.33

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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.