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Finding the Fourth Proportional to 7,134.32, 10,706.88 and 3,241.40

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Solution

The fourth proportional to 7,134.32, 10,706.88 and 3,241.40 is: 4,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.32 : 10,706.88 = 3,241.40 : x
  2. Step 2: Convert to fraction form
    7,134.32/10,706.88 = 3,241.40/x
  3. Step 3: Cross multiply
    7,134.32x = 10,706.88 × 3,241.40
  4. Step 4: Simplify right side
    7,134.32x = 34,705,280.83
  5. Step 5: Solve for x
    x = 34,705,280.83/7,134.32
  6. Step 6: Final answer
    x = 4,864.55

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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.