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Finding the Fourth Proportional to 7,339.02, 11,000.26 and 3,643.90

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Solution

The fourth proportional to 7,339.02, 11,000.26 and 3,643.90 is: 5,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339.02 : 11,000.26 = 3,643.90 : x
  2. Step 2: Convert to fraction form
    7,339.02/11,000.26 = 3,643.90/x
  3. Step 3: Cross multiply
    7,339.02x = 11,000.26 × 3,643.90
  4. Step 4: Simplify right side
    7,339.02x = 40,083,847.41
  5. Step 5: Solve for x
    x = 40,083,847.41/7,339.02
  6. Step 6: Final answer
    x = 5,461.74

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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.