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Finding the Fourth Proportional to 6,803.72, 10,205.46 and 3,875.78

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Solution

The fourth proportional to 6,803.72, 10,205.46 and 3,875.78 is: 5,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.72 : 10,205.46 = 3,875.78 : x
  2. Step 2: Convert to fraction form
    6,803.72/10,205.46 = 3,875.78/x
  3. Step 3: Cross multiply
    6,803.72x = 10,205.46 × 3,875.78
  4. Step 4: Simplify right side
    6,803.72x = 39,554,117.76
  5. Step 5: Solve for x
    x = 39,554,117.76/6,803.72
  6. Step 6: Final answer
    x = 5,813.60

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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.