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Finding the Fourth Proportional to 7,568.75, 11,343.12 and 5,807.01

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Solution

The fourth proportional to 7,568.75, 11,343.12 and 5,807.01 is: 8,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.75 : 11,343.12 = 5,807.01 : x
  2. Step 2: Convert to fraction form
    7,568.75/11,343.12 = 5,807.01/x
  3. Step 3: Cross multiply
    7,568.75x = 11,343.12 × 5,807.01
  4. Step 4: Simplify right side
    7,568.75x = 65,869,611.27
  5. Step 5: Solve for x
    x = 65,869,611.27/7,568.75
  6. Step 6: Final answer
    x = 8,702.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.