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Finding the Fourth Proportional to 7,543.72, 11,317.20 and 2,350

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Solution

The fourth proportional to 7,543.72, 11,317.20 and 2,350 is: 3,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.72 : 11,317.20 = 2,350 : x
  2. Step 2: Convert to fraction form
    7,543.72/11,317.20 = 2,350/x
  3. Step 3: Cross multiply
    7,543.72x = 11,317.20 × 2,350
  4. Step 4: Simplify right side
    7,543.72x = 26,595,420
  5. Step 5: Solve for x
    x = 26,595,420/7,543.72
  6. Step 6: Final answer
    x = 3,525.50

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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.