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Finding the Fourth Proportional to 10,703.98, 16,051.81 and 3,682.66

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Solution

The fourth proportional to 10,703.98, 16,051.81 and 3,682.66 is: 5,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.98 : 16,051.81 = 3,682.66 : x
  2. Step 2: Convert to fraction form
    10,703.98/16,051.81 = 3,682.66/x
  3. Step 3: Cross multiply
    10,703.98x = 16,051.81 × 3,682.66
  4. Step 4: Simplify right side
    10,703.98x = 59,113,358.61
  5. Step 5: Solve for x
    x = 59,113,358.61/10,703.98
  6. Step 6: Final answer
    x = 5,522.56

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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.