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Finding the Fourth Proportional to 10,917.24, 16,364.10 and 5,283.01

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Solution

The fourth proportional to 10,917.24, 16,364.10 and 5,283.01 is: 7,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.24 : 16,364.10 = 5,283.01 : x
  2. Step 2: Convert to fraction form
    10,917.24/16,364.10 = 5,283.01/x
  3. Step 3: Cross multiply
    10,917.24x = 16,364.10 × 5,283.01
  4. Step 4: Simplify right side
    10,917.24x = 86,451,704.58
  5. Step 5: Solve for x
    x = 86,451,704.58/10,917.24
  6. Step 6: Final answer
    x = 7,918.82

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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.