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Finding the Fourth Proportional to 10,096.17, 13,903.31 and 7,854.27

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Solution

The fourth proportional to 10,096.17, 13,903.31 and 7,854.27 is: 10,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.17 : 13,903.31 = 7,854.27 : x
  2. Step 2: Convert to fraction form
    10,096.17/13,903.31 = 7,854.27/x
  3. Step 3: Cross multiply
    10,096.17x = 13,903.31 × 7,854.27
  4. Step 4: Simplify right side
    10,096.17x = 109,200,318.13
  5. Step 5: Solve for x
    x = 109,200,318.13/10,096.17
  6. Step 6: Final answer
    x = 10,816.02

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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.