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Finding the Fourth Proportional to 6,858.46, 10,304.10 and 4,398.10

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Solution

The fourth proportional to 6,858.46, 10,304.10 and 4,398.10 is: 6,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.46 : 10,304.10 = 4,398.10 : x
  2. Step 2: Convert to fraction form
    6,858.46/10,304.10 = 4,398.10/x
  3. Step 3: Cross multiply
    6,858.46x = 10,304.10 × 4,398.10
  4. Step 4: Simplify right side
    6,858.46x = 45,318,462.21
  5. Step 5: Solve for x
    x = 45,318,462.21/6,858.46
  6. Step 6: Final answer
    x = 6,607.67

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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.