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Finding the Fourth Proportional to 11,672.69, 17,509.05 and 4,277.93

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Solution

The fourth proportional to 11,672.69, 17,509.05 and 4,277.93 is: 6,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.69 : 17,509.05 = 4,277.93 : x
  2. Step 2: Convert to fraction form
    11,672.69/17,509.05 = 4,277.93/x
  3. Step 3: Cross multiply
    11,672.69x = 17,509.05 × 4,277.93
  4. Step 4: Simplify right side
    11,672.69x = 74,902,402.72
  5. Step 5: Solve for x
    x = 74,902,402.72/11,672.69
  6. Step 6: Final answer
    x = 6,416.90

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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.