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Finding the Fourth Proportional to 6,855.47, 10,280 and 2,472.35

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Solution

The fourth proportional to 6,855.47, 10,280 and 2,472.35 is: 3,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.47 : 10,280 = 2,472.35 : x
  2. Step 2: Convert to fraction form
    6,855.47/10,280 = 2,472.35/x
  3. Step 3: Cross multiply
    6,855.47x = 10,280 × 2,472.35
  4. Step 4: Simplify right side
    6,855.47x = 25,415,758
  5. Step 5: Solve for x
    x = 25,415,758/6,855.47
  6. Step 6: Final answer
    x = 3,707.37

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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.