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Finding the Fourth Proportional to 11,290.34, 15,581.22 and 6,814.28

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Solution

The fourth proportional to 11,290.34, 15,581.22 and 6,814.28 is: 9,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.34 : 15,581.22 = 6,814.28 : x
  2. Step 2: Convert to fraction form
    11,290.34/15,581.22 = 6,814.28/x
  3. Step 3: Cross multiply
    11,290.34x = 15,581.22 × 6,814.28
  4. Step 4: Simplify right side
    11,290.34x = 106,174,795.82
  5. Step 5: Solve for x
    x = 106,174,795.82/11,290.34
  6. Step 6: Final answer
    x = 9,404.04

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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.