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Finding the Fourth Proportional to 10,875.87, 16,310.36 and 6,709.64

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Solution

The fourth proportional to 10,875.87, 16,310.36 and 6,709.64 is: 10,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.87 : 16,310.36 = 6,709.64 : x
  2. Step 2: Convert to fraction form
    10,875.87/16,310.36 = 6,709.64/x
  3. Step 3: Cross multiply
    10,875.87x = 16,310.36 × 6,709.64
  4. Step 4: Simplify right side
    10,875.87x = 109,436,579.09
  5. Step 5: Solve for x
    x = 109,436,579.09/10,875.87
  6. Step 6: Final answer
    x = 10,062.33

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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.