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Finding the Fourth Proportional to 12,501.72, 17,251.74 and 6,911.64

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Solution

The fourth proportional to 12,501.72, 17,251.74 and 6,911.64 is: 9,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.72 : 17,251.74 = 6,911.64 : x
  2. Step 2: Convert to fraction form
    12,501.72/17,251.74 = 6,911.64/x
  3. Step 3: Cross multiply
    12,501.72x = 17,251.74 × 6,911.64
  4. Step 4: Simplify right side
    12,501.72x = 119,237,816.25
  5. Step 5: Solve for x
    x = 119,237,816.25/12,501.72
  6. Step 6: Final answer
    x = 9,537.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.