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Finding the Fourth Proportional to 10,803.75, 16,205.63 and 2,595.75

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Solution

The fourth proportional to 10,803.75, 16,205.63 and 2,595.75 is: 3,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.75 : 16,205.63 = 2,595.75 : x
  2. Step 2: Convert to fraction form
    10,803.75/16,205.63 = 2,595.75/x
  3. Step 3: Cross multiply
    10,803.75x = 16,205.63 × 2,595.75
  4. Step 4: Simplify right side
    10,803.75x = 42,065,764.07
  5. Step 5: Solve for x
    x = 42,065,764.07/10,803.75
  6. Step 6: Final answer
    x = 3,893.63

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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.