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Finding the Fourth Proportional to 7,887.71, 11,829.54 and 2,339.80

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Solution

The fourth proportional to 7,887.71, 11,829.54 and 2,339.80 is: 3,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.71 : 11,829.54 = 2,339.80 : x
  2. Step 2: Convert to fraction form
    7,887.71/11,829.54 = 2,339.80/x
  3. Step 3: Cross multiply
    7,887.71x = 11,829.54 × 2,339.80
  4. Step 4: Simplify right side
    7,887.71x = 27,678,698.54
  5. Step 5: Solve for x
    x = 27,678,698.54/7,887.71
  6. Step 6: Final answer
    x = 3,509.09

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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.