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Finding the Fourth Proportional to 10,693.78, 16,051.06 and 7,751.15

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Solution

The fourth proportional to 10,693.78, 16,051.06 and 7,751.15 is: 11,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.78 : 16,051.06 = 7,751.15 : x
  2. Step 2: Convert to fraction form
    10,693.78/16,051.06 = 7,751.15/x
  3. Step 3: Cross multiply
    10,693.78x = 16,051.06 × 7,751.15
  4. Step 4: Simplify right side
    10,693.78x = 124,414,173.72
  5. Step 5: Solve for x
    x = 124,414,173.72/10,693.78
  6. Step 6: Final answer
    x = 11,634.26

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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.