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Finding the Fourth Proportional to 7,107.72, 9,808.72 and 3,921.15

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Solution

The fourth proportional to 7,107.72, 9,808.72 and 3,921.15 is: 5,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.72 : 9,808.72 = 3,921.15 : x
  2. Step 2: Convert to fraction form
    7,107.72/9,808.72 = 3,921.15/x
  3. Step 3: Cross multiply
    7,107.72x = 9,808.72 × 3,921.15
  4. Step 4: Simplify right side
    7,107.72x = 38,461,489.41
  5. Step 5: Solve for x
    x = 38,461,489.41/7,107.72
  6. Step 6: Final answer
    x = 5,411.23

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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.