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Finding the Fourth Proportional to 11,828.70, 16,326.36 and 7,849.98

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Solution

The fourth proportional to 11,828.70, 16,326.36 and 7,849.98 is: 10,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.70 : 16,326.36 = 7,849.98 : x
  2. Step 2: Convert to fraction form
    11,828.70/16,326.36 = 7,849.98/x
  3. Step 3: Cross multiply
    11,828.70x = 16,326.36 × 7,849.98
  4. Step 4: Simplify right side
    11,828.70x = 128,161,599.47
  5. Step 5: Solve for x
    x = 128,161,599.47/11,828.70
  6. Step 6: Final answer
    x = 10,834.80

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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.