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Finding the Fourth Proportional to 7,817.94, 11,720.40 and 3,655.74

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Solution

The fourth proportional to 7,817.94, 11,720.40 and 3,655.74 is: 5,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.94 : 11,720.40 = 3,655.74 : x
  2. Step 2: Convert to fraction form
    7,817.94/11,720.40 = 3,655.74/x
  3. Step 3: Cross multiply
    7,817.94x = 11,720.40 × 3,655.74
  4. Step 4: Simplify right side
    7,817.94x = 42,846,735.10
  5. Step 5: Solve for x
    x = 42,846,735.10/7,817.94
  6. Step 6: Final answer
    x = 5,480.57

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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.