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Finding the Fourth Proportional to 10,193.66, 15,268.89 and 7,701.02

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Solution

The fourth proportional to 10,193.66, 15,268.89 and 7,701.02 is: 11,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.66 : 15,268.89 = 7,701.02 : x
  2. Step 2: Convert to fraction form
    10,193.66/15,268.89 = 7,701.02/x
  3. Step 3: Cross multiply
    10,193.66x = 15,268.89 × 7,701.02
  4. Step 4: Simplify right side
    10,193.66x = 117,586,027.27
  5. Step 5: Solve for x
    x = 117,586,027.27/10,193.66
  6. Step 6: Final answer
    x = 11,535.21

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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.