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Finding the Fourth Proportional to 10,869.96, 16,296.52 and 7,868.08

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Solution

The fourth proportional to 10,869.96, 16,296.52 and 7,868.08 is: 11,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.96 : 16,296.52 = 7,868.08 : x
  2. Step 2: Convert to fraction form
    10,869.96/16,296.52 = 7,868.08/x
  3. Step 3: Cross multiply
    10,869.96x = 16,296.52 × 7,868.08
  4. Step 4: Simplify right side
    10,869.96x = 128,222,323.08
  5. Step 5: Solve for x
    x = 128,222,323.08/10,869.96
  6. Step 6: Final answer
    x = 11,796.03

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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.