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Finding the Fourth Proportional to 11,838.39, 17,752.56 and 5,260.08

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Solution

The fourth proportional to 11,838.39, 17,752.56 and 5,260.08 is: 7,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.39 : 17,752.56 = 5,260.08 : x
  2. Step 2: Convert to fraction form
    11,838.39/17,752.56 = 5,260.08/x
  3. Step 3: Cross multiply
    11,838.39x = 17,752.56 × 5,260.08
  4. Step 4: Simplify right side
    11,838.39x = 93,379,885.80
  5. Step 5: Solve for x
    x = 93,379,885.80/11,838.39
  6. Step 6: Final answer
    x = 7,887.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.