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Finding the Fourth Proportional to 11,406.55, 17,101.53 and 7,699.63

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Solution

The fourth proportional to 11,406.55, 17,101.53 and 7,699.63 is: 11,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.55 : 17,101.53 = 7,699.63 : x
  2. Step 2: Convert to fraction form
    11,406.55/17,101.53 = 7,699.63/x
  3. Step 3: Cross multiply
    11,406.55x = 17,101.53 × 7,699.63
  4. Step 4: Simplify right side
    11,406.55x = 131,675,453.43
  5. Step 5: Solve for x
    x = 131,675,453.43/11,406.55
  6. Step 6: Final answer
    x = 11,543.85

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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.