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Finding the Fourth Proportional to 10,701.90, 16,051.14 and 6,741

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Solution

The fourth proportional to 10,701.90, 16,051.14 and 6,741 is: 10,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.90 : 16,051.14 = 6,741 : x
  2. Step 2: Convert to fraction form
    10,701.90/16,051.14 = 6,741/x
  3. Step 3: Cross multiply
    10,701.90x = 16,051.14 × 6,741
  4. Step 4: Simplify right side
    10,701.90x = 108,200,734.74
  5. Step 5: Solve for x
    x = 108,200,734.74/10,701.90
  6. Step 6: Final answer
    x = 10,110.42

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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.