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Finding the Fourth Proportional to 7,817.68, 11,725.89 and 3,435.16

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Solution

The fourth proportional to 7,817.68, 11,725.89 and 3,435.16 is: 5,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.68 : 11,725.89 = 3,435.16 : x
  2. Step 2: Convert to fraction form
    7,817.68/11,725.89 = 3,435.16/x
  3. Step 3: Cross multiply
    7,817.68x = 11,725.89 × 3,435.16
  4. Step 4: Simplify right side
    7,817.68x = 40,280,308.29
  5. Step 5: Solve for x
    x = 40,280,308.29/7,817.68
  6. Step 6: Final answer
    x = 5,152.46

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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.