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Finding the Fourth Proportional to 11,283.94, 16,900.94 and 7,717.59

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Solution

The fourth proportional to 11,283.94, 16,900.94 and 7,717.59 is: 11,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.94 : 16,900.94 = 7,717.59 : x
  2. Step 2: Convert to fraction form
    11,283.94/16,900.94 = 7,717.59/x
  3. Step 3: Cross multiply
    11,283.94x = 16,900.94 × 7,717.59
  4. Step 4: Simplify right side
    11,283.94x = 130,434,592.36
  5. Step 5: Solve for x
    x = 130,434,592.36/11,283.94
  6. Step 6: Final answer
    x = 11,559.31

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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.