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Finding the Fourth Proportional to 6,803.34, 10,197.80 and 3,875.36

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Solution

The fourth proportional to 6,803.34, 10,197.80 and 3,875.36 is: 5,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.34 : 10,197.80 = 3,875.36 : x
  2. Step 2: Convert to fraction form
    6,803.34/10,197.80 = 3,875.36/x
  3. Step 3: Cross multiply
    6,803.34x = 10,197.80 × 3,875.36
  4. Step 4: Simplify right side
    6,803.34x = 39,520,146.21
  5. Step 5: Solve for x
    x = 39,520,146.21/6,803.34
  6. Step 6: Final answer
    x = 5,808.93

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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.