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Finding the Fourth Proportional to 6,885.27, 10,302.39 and 4,113.45

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Solution

The fourth proportional to 6,885.27, 10,302.39 and 4,113.45 is: 6,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.27 : 10,302.39 = 4,113.45 : x
  2. Step 2: Convert to fraction form
    6,885.27/10,302.39 = 4,113.45/x
  3. Step 3: Cross multiply
    6,885.27x = 10,302.39 × 4,113.45
  4. Step 4: Simplify right side
    6,885.27x = 42,378,366.15
  5. Step 5: Solve for x
    x = 42,378,366.15/6,885.27
  6. Step 6: Final answer
    x = 6,154.93

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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.