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Finding the Fourth Proportional to 11,234, 15,501.48 and 6,516.56

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Solution

The fourth proportional to 11,234, 15,501.48 and 6,516.56 is: 8,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234 : 15,501.48 = 6,516.56 : x
  2. Step 2: Convert to fraction form
    11,234/15,501.48 = 6,516.56/x
  3. Step 3: Cross multiply
    11,234x = 15,501.48 × 6,516.56
  4. Step 4: Simplify right side
    11,234x = 101,016,324.51
  5. Step 5: Solve for x
    x = 101,016,324.51/11,234
  6. Step 6: Final answer
    x = 8,992.02

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Why These Related Problems?

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