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Finding the Fourth Proportional to 10,418.72, 14,378.20 and 5,703

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Solution

The fourth proportional to 10,418.72, 14,378.20 and 5,703 is: 7,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.72 : 14,378.20 = 5,703 : x
  2. Step 2: Convert to fraction form
    10,418.72/14,378.20 = 5,703/x
  3. Step 3: Cross multiply
    10,418.72x = 14,378.20 × 5,703
  4. Step 4: Simplify right side
    10,418.72x = 81,998,874.60
  5. Step 5: Solve for x
    x = 81,998,874.60/10,418.72
  6. Step 6: Final answer
    x = 7,870.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.