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Finding the Fourth Proportional to 8,735.41, 13,099.94 and 3,803.86

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Solution

The fourth proportional to 8,735.41, 13,099.94 and 3,803.86 is: 5,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.41 : 13,099.94 = 3,803.86 : x
  2. Step 2: Convert to fraction form
    8,735.41/13,099.94 = 3,803.86/x
  3. Step 3: Cross multiply
    8,735.41x = 13,099.94 × 3,803.86
  4. Step 4: Simplify right side
    8,735.41x = 49,830,253.25
  5. Step 5: Solve for x
    x = 49,830,253.25/8,735.41
  6. Step 6: Final answer
    x = 5,704.40

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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.