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Finding the Fourth Proportional to 7,568.10, 11,344.05 and 3,407.40

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Solution

The fourth proportional to 7,568.10, 11,344.05 and 3,407.40 is: 5,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.10 : 11,344.05 = 3,407.40 : x
  2. Step 2: Convert to fraction form
    7,568.10/11,344.05 = 3,407.40/x
  3. Step 3: Cross multiply
    7,568.10x = 11,344.05 × 3,407.40
  4. Step 4: Simplify right side
    7,568.10x = 38,653,715.97
  5. Step 5: Solve for x
    x = 38,653,715.97/7,568.10
  6. Step 6: Final answer
    x = 5,107.45

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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.