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Finding the Fourth Proportional to 8,353.56, 11,501.68 and 7,092

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Solution

The fourth proportional to 8,353.56, 11,501.68 and 7,092 is: 9,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.56 : 11,501.68 = 7,092 : x
  2. Step 2: Convert to fraction form
    8,353.56/11,501.68 = 7,092/x
  3. Step 3: Cross multiply
    8,353.56x = 11,501.68 × 7,092
  4. Step 4: Simplify right side
    8,353.56x = 81,569,914.56
  5. Step 5: Solve for x
    x = 81,569,914.56/8,353.56
  6. Step 6: Final answer
    x = 9,764.69

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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.