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Finding the Fourth Proportional to 11,355.82, 15,668.70 and 6,881.78

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Solution

The fourth proportional to 11,355.82, 15,668.70 and 6,881.78 is: 9,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.82 : 15,668.70 = 6,881.78 : x
  2. Step 2: Convert to fraction form
    11,355.82/15,668.70 = 6,881.78/x
  3. Step 3: Cross multiply
    11,355.82x = 15,668.70 × 6,881.78
  4. Step 4: Simplify right side
    11,355.82x = 107,828,546.29
  5. Step 5: Solve for x
    x = 107,828,546.29/11,355.82
  6. Step 6: Final answer
    x = 9,495.44

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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.